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Finding the Fourth Proportional to 472,854.80, 709,282.20 and 429,309.20

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Solution

The fourth proportional to 472,854.80, 709,282.20 and 429,309.20 is: 643,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,854.80 : 709,282.20 = 429,309.20 : x
  2. Step 2: Convert to fraction form
    472,854.80/709,282.20 = 429,309.20/x
  3. Step 3: Cross multiply
    472,854.80x = 709,282.20 × 429,309.20
  4. Step 4: Simplify right side
    472,854.80x = 304,501,373,856.24
  5. Step 5: Solve for x
    x = 304,501,373,856.24/472,854.80
  6. Step 6: Final answer
    x = 643,963.80

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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.