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Finding the Fourth Proportional to 342,397.70, 513,318.17 and 142,866.71

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Solution

The fourth proportional to 342,397.70, 513,318.17 and 142,866.71 is: 214,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,397.70 : 513,318.17 = 142,866.71 : x
  2. Step 2: Convert to fraction form
    342,397.70/513,318.17 = 142,866.71/x
  3. Step 3: Cross multiply
    342,397.70x = 513,318.17 × 142,866.71
  4. Step 4: Simplify right side
    342,397.70x = 73,336,074,850.20
  5. Step 5: Solve for x
    x = 73,336,074,850.20/342,397.70
  6. Step 6: Final answer
    x = 214,183.90

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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.