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Finding the Fourth Proportional to 472,398,490.80, 708,597,736.20 and 424,781,377.20

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Solution

The fourth proportional to 472,398,490.80, 708,597,736.20 and 424,781,377.20 is: 637,172,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398,490.80 : 708,597,736.20 = 424,781,377.20 : x
  2. Step 2: Convert to fraction form
    472,398,490.80/708,597,736.20 = 424,781,377.20/x
  3. Step 3: Cross multiply
    472,398,490.80x = 708,597,736.20 × 424,781,377.20
  4. Step 4: Simplify right side
    472,398,490.80x = 300,999,122,263,838,336
  5. Step 5: Solve for x
    x = 300,999,122,263,838,336/472,398,490.80
  6. Step 6: Final answer
    x = 637,172,065.80

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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.