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Finding the Fourth Proportional to 898,156,979.10, 1,347,235,468.65 and 509,829,759.90

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Solution

The fourth proportional to 898,156,979.10, 1,347,235,468.65 and 509,829,759.90 is: 764,744,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,156,979.10 : 1,347,235,468.65 = 509,829,759.90 : x
  2. Step 2: Convert to fraction form
    898,156,979.10/1,347,235,468.65 = 509,829,759.90/x
  3. Step 3: Cross multiply
    898,156,979.10x = 1,347,235,468.65 × 509,829,759.90
  4. Step 4: Simplify right side
    898,156,979.10x = 686,860,735,510,593,536
  5. Step 5: Solve for x
    x = 686,860,735,510,593,536/898,156,979.10
  6. Step 6: Final answer
    x = 764,744,639.85

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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.