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Finding the Fourth Proportional to 230,498.34, 345,542.31 and 90,354.66

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Solution

The fourth proportional to 230,498.34, 345,542.31 and 90,354.66 is: 135,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,498.34 : 345,542.31 = 90,354.66 : x
  2. Step 2: Convert to fraction form
    230,498.34/345,542.31 = 90,354.66/x
  3. Step 3: Cross multiply
    230,498.34x = 345,542.31 × 90,354.66
  4. Step 4: Simplify right side
    230,498.34x = 31,221,357,935.66
  5. Step 5: Solve for x
    x = 31,221,357,935.66/230,498.34
  6. Step 6: Final answer
    x = 135,451.55

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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.