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Finding the Fourth Proportional to 647,009.70, 970,514.55 and 328,145.10

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Solution

The fourth proportional to 647,009.70, 970,514.55 and 328,145.10 is: 492,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,009.70 : 970,514.55 = 328,145.10 : x
  2. Step 2: Convert to fraction form
    647,009.70/970,514.55 = 328,145.10/x
  3. Step 3: Cross multiply
    647,009.70x = 970,514.55 × 328,145.10
  4. Step 4: Simplify right side
    647,009.70x = 318,469,594,061.21
  5. Step 5: Solve for x
    x = 318,469,594,061.21/647,009.70
  6. Step 6: Final answer
    x = 492,217.65

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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.