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Finding the Fourth Proportional to 498,145.34, 747,162.65 and 178,284.29

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Solution

The fourth proportional to 498,145.34, 747,162.65 and 178,284.29 is: 267,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,145.34 : 747,162.65 = 178,284.29 : x
  2. Step 2: Convert to fraction form
    498,145.34/747,162.65 = 178,284.29/x
  3. Step 3: Cross multiply
    498,145.34x = 747,162.65 × 178,284.29
  4. Step 4: Simplify right side
    498,145.34x = 133,207,357,942.53
  5. Step 5: Solve for x
    x = 133,207,357,942.53/498,145.34
  6. Step 6: Final answer
    x = 267,406.62

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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.