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Finding the Fourth Proportional to 511,070.72, 766,722.72 and 156,135.20

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Solution

The fourth proportional to 511,070.72, 766,722.72 and 156,135.20 is: 234,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,070.72 : 766,722.72 = 156,135.20 : x
  2. Step 2: Convert to fraction form
    511,070.72/766,722.72 = 156,135.20/x
  3. Step 3: Cross multiply
    511,070.72x = 766,722.72 × 156,135.20
  4. Step 4: Simplify right side
    511,070.72x = 119,712,405,231.74
  5. Step 5: Solve for x
    x = 119,712,405,231.74/511,070.72
  6. Step 6: Final answer
    x = 234,238.43

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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.