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Finding the Fourth Proportional to 283,978.12, 391,890.90 and 156,651.88

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Solution

The fourth proportional to 283,978.12, 391,890.90 and 156,651.88 is: 216,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,978.12 : 391,890.90 = 156,651.88 : x
  2. Step 2: Convert to fraction form
    283,978.12/391,890.90 = 156,651.88/x
  3. Step 3: Cross multiply
    283,978.12x = 391,890.90 × 156,651.88
  4. Step 4: Simplify right side
    283,978.12x = 61,390,446,239.89
  5. Step 5: Solve for x
    x = 61,390,446,239.89/283,978.12
  6. Step 6: Final answer
    x = 216,180.20

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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.