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Finding the Fourth Proportional to 647,356.30, 971,034.45 and 332,428.30

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Solution

The fourth proportional to 647,356.30, 971,034.45 and 332,428.30 is: 498,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,356.30 : 971,034.45 = 332,428.30 : x
  2. Step 2: Convert to fraction form
    647,356.30/971,034.45 = 332,428.30/x
  3. Step 3: Cross multiply
    647,356.30x = 971,034.45 × 332,428.30
  4. Step 4: Simplify right side
    647,356.30x = 322,799,331,454.94
  5. Step 5: Solve for x
    x = 322,799,331,454.94/647,356.30
  6. Step 6: Final answer
    x = 498,642.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.