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Finding the Fourth Proportional to 511,675.02, 767,514.45 and 156,687.66

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Solution

The fourth proportional to 511,675.02, 767,514.45 and 156,687.66 is: 235,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,675.02 : 767,514.45 = 156,687.66 : x
  2. Step 2: Convert to fraction form
    511,675.02/767,514.45 = 156,687.66/x
  3. Step 3: Cross multiply
    511,675.02x = 767,514.45 × 156,687.66
  4. Step 4: Simplify right side
    511,675.02x = 120,260,043,186.69
  5. Step 5: Solve for x
    x = 120,260,043,186.69/511,675.02
  6. Step 6: Final answer
    x = 235,032.08

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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.