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Finding the Fourth Proportional to 539,393,772.80, 809,468,572.80 and 345,776,038.40

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Solution

The fourth proportional to 539,393,772.80, 809,468,572.80 and 345,776,038.40 is: 518,906,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,393,772.80 : 809,468,572.80 = 345,776,038.40 : x
  2. Step 2: Convert to fraction form
    539,393,772.80/809,468,572.80 = 345,776,038.40/x
  3. Step 3: Cross multiply
    539,393,772.80x = 809,468,572.80 × 345,776,038.40
  4. Step 4: Simplify right side
    539,393,772.80x = 279,894,836,312,085,952
  5. Step 5: Solve for x
    x = 279,894,836,312,085,952/539,393,772.80
  6. Step 6: Final answer
    x = 518,906,317.47

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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.