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Finding the Fourth Proportional to 511,412.66, 767,149.73 and 156,429.75

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Solution

The fourth proportional to 511,412.66, 767,149.73 and 156,429.75 is: 234,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,412.66 : 767,149.73 = 156,429.75 : x
  2. Step 2: Convert to fraction form
    511,412.66/767,149.73 = 156,429.75/x
  3. Step 3: Cross multiply
    511,412.66x = 767,149.73 × 156,429.75
  4. Step 4: Simplify right side
    511,412.66x = 120,005,040,476.47
  5. Step 5: Solve for x
    x = 120,005,040,476.47/511,412.66
  6. Step 6: Final answer
    x = 234,654.03

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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.