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Finding the Fourth Proportional to 511,069.72, 766,721.22 and 156,134.20

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Solution

The fourth proportional to 511,069.72, 766,721.22 and 156,134.20 is: 234,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,069.72 : 766,721.22 = 156,134.20 : x
  2. Step 2: Convert to fraction form
    511,069.72/766,721.22 = 156,134.20/x
  3. Step 3: Cross multiply
    511,069.72x = 766,721.22 × 156,134.20
  4. Step 4: Simplify right side
    511,069.72x = 119,711,404,307.72
  5. Step 5: Solve for x
    x = 119,711,404,307.72/511,069.72
  6. Step 6: Final answer
    x = 234,236.93

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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.