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Finding the Fourth Proportional to 474,694,327.80, 712,041,491.70 and 319,726,132.20

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Solution

The fourth proportional to 474,694,327.80, 712,041,491.70 and 319,726,132.20 is: 479,589,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,694,327.80 : 712,041,491.70 = 319,726,132.20 : x
  2. Step 2: Convert to fraction form
    474,694,327.80/712,041,491.70 = 319,726,132.20/x
  3. Step 3: Cross multiply
    474,694,327.80x = 712,041,491.70 × 319,726,132.20
  4. Step 4: Simplify right side
    474,694,327.80x = 227,658,272,107,159,424
  5. Step 5: Solve for x
    x = 227,658,272,107,159,424/474,694,327.80
  6. Step 6: Final answer
    x = 479,589,198.30

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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.