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Finding the Fourth Proportional to 402,898,457.80, 604,347,686.70 and 280,454,451.40

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Solution

The fourth proportional to 402,898,457.80, 604,347,686.70 and 280,454,451.40 is: 420,681,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,898,457.80 : 604,347,686.70 = 280,454,451.40 : x
  2. Step 2: Convert to fraction form
    402,898,457.80/604,347,686.70 = 280,454,451.40/x
  3. Step 3: Cross multiply
    402,898,457.80x = 604,347,686.70 × 280,454,451.40
  4. Step 4: Simplify right side
    402,898,457.80x = 169,491,998,928,307,584
  5. Step 5: Solve for x
    x = 169,491,998,928,307,584/402,898,457.80
  6. Step 6: Final answer
    x = 420,681,677.10

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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.