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Finding the Fourth Proportional to 394,752,012.80, 592,128,019.20 and 256,202,355.20

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Solution

The fourth proportional to 394,752,012.80, 592,128,019.20 and 256,202,355.20 is: 384,303,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,752,012.80 : 592,128,019.20 = 256,202,355.20 : x
  2. Step 2: Convert to fraction form
    394,752,012.80/592,128,019.20 = 256,202,355.20/x
  3. Step 3: Cross multiply
    394,752,012.80x = 592,128,019.20 × 256,202,355.20
  4. Step 4: Simplify right side
    394,752,012.80x = 151,704,593,098,950,816
  5. Step 5: Solve for x
    x = 151,704,593,098,950,816/394,752,012.80
  6. Step 6: Final answer
    x = 384,303,532.80

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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.