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Finding the Fourth Proportional to 283,614, 391,385.64 and 154,552.20

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Solution

The fourth proportional to 283,614, 391,385.64 and 154,552.20 is: 213,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,614 : 391,385.64 = 154,552.20 : x
  2. Step 2: Convert to fraction form
    283,614/391,385.64 = 154,552.20/x
  3. Step 3: Cross multiply
    283,614x = 391,385.64 × 154,552.20
  4. Step 4: Simplify right side
    283,614x = 60,489,511,710.41
  5. Step 5: Solve for x
    x = 60,489,511,710.41/283,614
  6. Step 6: Final answer
    x = 213,281.12

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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.