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Finding the Fourth Proportional to 472,904.20, 709,356.30 and 465,128.20

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Solution

The fourth proportional to 472,904.20, 709,356.30 and 465,128.20 is: 697,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,904.20 : 709,356.30 = 465,128.20 : x
  2. Step 2: Convert to fraction form
    472,904.20/709,356.30 = 465,128.20/x
  3. Step 3: Cross multiply
    472,904.20x = 709,356.30 × 465,128.20
  4. Step 4: Simplify right side
    472,904.20x = 329,941,618,977.66
  5. Step 5: Solve for x
    x = 329,941,618,977.66/472,904.20
  6. Step 6: Final answer
    x = 697,692.30

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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.