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Finding the Fourth Proportional to 511,385.24, 766,954.85 and 156,402.34

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Solution

The fourth proportional to 511,385.24, 766,954.85 and 156,402.34 is: 234,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,385.24 : 766,954.85 = 156,402.34 : x
  2. Step 2: Convert to fraction form
    511,385.24/766,954.85 = 156,402.34/x
  3. Step 3: Cross multiply
    511,385.24x = 766,954.85 × 156,402.34
  4. Step 4: Simplify right side
    511,385.24x = 119,953,530,514.95
  5. Step 5: Solve for x
    x = 119,953,530,514.95/511,385.24
  6. Step 6: Final answer
    x = 234,565.88

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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.