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Finding the Fourth Proportional to 863,138,981.60, 1,294,708,472.40 and 791,713,311.20

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Solution

The fourth proportional to 863,138,981.60, 1,294,708,472.40 and 791,713,311.20 is: 1,187,569,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,138,981.60 : 1,294,708,472.40 = 791,713,311.20 : x
  2. Step 2: Convert to fraction form
    863,138,981.60/1,294,708,472.40 = 791,713,311.20/x
  3. Step 3: Cross multiply
    863,138,981.60x = 1,294,708,472.40 × 791,713,311.20
  4. Step 4: Simplify right side
    863,138,981.60x = 1,025,037,931,722,497,920
  5. Step 5: Solve for x
    x = 1,025,037,931,722,497,920/863,138,981.60
  6. Step 6: Final answer
    x = 1,187,569,966.80

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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.