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Finding the Fourth Proportional to 503,944,909.20, 755,917,363.80 and 417,851,467.20

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Solution

The fourth proportional to 503,944,909.20, 755,917,363.80 and 417,851,467.20 is: 626,777,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,944,909.20 : 755,917,363.80 = 417,851,467.20 : x
  2. Step 2: Convert to fraction form
    503,944,909.20/755,917,363.80 = 417,851,467.20/x
  3. Step 3: Cross multiply
    503,944,909.20x = 755,917,363.80 × 417,851,467.20
  4. Step 4: Simplify right side
    503,944,909.20x = 315,861,179,545,786,112
  5. Step 5: Solve for x
    x = 315,861,179,545,786,112/503,944,909.20
  6. Step 6: Final answer
    x = 626,777,200.80

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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.