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Finding the Fourth Proportional to 283,762.62, 391,595.46 and 156,442.78

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Solution

The fourth proportional to 283,762.62, 391,595.46 and 156,442.78 is: 215,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,762.62 : 391,595.46 = 156,442.78 : x
  2. Step 2: Convert to fraction form
    283,762.62/391,595.46 = 156,442.78/x
  3. Step 3: Cross multiply
    283,762.62x = 391,595.46 × 156,442.78
  4. Step 4: Simplify right side
    283,762.62x = 61,262,282,397.78
  5. Step 5: Solve for x
    x = 61,262,282,397.78/283,762.62
  6. Step 6: Final answer
    x = 215,892.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.