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Finding the Fourth Proportional to 283,978.74, 391,890.69 and 156,654.66

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Solution

The fourth proportional to 283,978.74, 391,890.69 and 156,654.66 is: 216,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,978.74 : 391,890.69 = 156,654.66 : x
  2. Step 2: Convert to fraction form
    283,978.74/391,890.69 = 156,654.66/x
  3. Step 3: Cross multiply
    283,978.74x = 391,890.69 × 156,654.66
  4. Step 4: Simplify right side
    283,978.74x = 61,391,502,799.12
  5. Step 5: Solve for x
    x = 61,391,502,799.12/283,978.74
  6. Step 6: Final answer
    x = 216,183.45

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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.