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Finding the Fourth Proportional to 425,731.20, 638,366.40 and 176,438.40

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Solution

The fourth proportional to 425,731.20, 638,366.40 and 176,438.40 is: 264,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,731.20 : 638,366.40 = 176,438.40 : x
  2. Step 2: Convert to fraction form
    425,731.20/638,366.40 = 176,438.40/x
  3. Step 3: Cross multiply
    425,731.20x = 638,366.40 × 176,438.40
  4. Step 4: Simplify right side
    425,731.20x = 112,632,346,229.76
  5. Step 5: Solve for x
    x = 112,632,346,229.76/425,731.20
  6. Step 6: Final answer
    x = 264,562.11

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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.