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Finding the Fourth Proportional to 472,336.80, 708,505.20 and 413,287.80

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Solution

The fourth proportional to 472,336.80, 708,505.20 and 413,287.80 is: 619,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,336.80 : 708,505.20 = 413,287.80 : x
  2. Step 2: Convert to fraction form
    472,336.80/708,505.20 = 413,287.80/x
  3. Step 3: Cross multiply
    472,336.80x = 708,505.20 × 413,287.80
  4. Step 4: Simplify right side
    472,336.80x = 292,816,555,396.56
  5. Step 5: Solve for x
    x = 292,816,555,396.56/472,336.80
  6. Step 6: Final answer
    x = 619,931.70

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Similar ratio
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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.