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Finding the Fourth Proportional to 402,898,644.30, 604,347,966.45 and 280,454,637.90

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Solution

The fourth proportional to 402,898,644.30, 604,347,966.45 and 280,454,637.90 is: 420,681,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,898,644.30 : 604,347,966.45 = 280,454,637.90 : x
  2. Step 2: Convert to fraction form
    402,898,644.30/604,347,966.45 = 280,454,637.90/x
  3. Step 3: Cross multiply
    402,898,644.30x = 604,347,966.45 × 280,454,637.90
  4. Step 4: Simplify right side
    402,898,644.30x = 169,492,190,096,336,096
  5. Step 5: Solve for x
    x = 169,492,190,096,336,096/402,898,644.30
  6. Step 6: Final answer
    x = 420,681,956.85

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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.