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Finding the Fourth Proportional to 537,857,750.12, 742,224,099.54 and 299,690,628.88

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Solution

The fourth proportional to 537,857,750.12, 742,224,099.54 and 299,690,628.88 is: 413,562,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,857,750.12 : 742,224,099.54 = 299,690,628.88 : x
  2. Step 2: Convert to fraction form
    537,857,750.12/742,224,099.54 = 299,690,628.88/x
  3. Step 3: Cross multiply
    537,857,750.12x = 742,224,099.54 × 299,690,628.88
  4. Step 4: Simplify right side
    537,857,750.12x = 222,437,607,161,034,304
  5. Step 5: Solve for x
    x = 222,437,607,161,034,304/537,857,750.12
  6. Step 6: Final answer
    x = 413,562,149.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.