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Finding the Fourth Proportional to 511,391.93, 766,964.87 and 156,409.02

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Solution

The fourth proportional to 511,391.93, 766,964.87 and 156,409.02 is: 234,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,391.93 : 766,964.87 = 156,409.02 : x
  2. Step 2: Convert to fraction form
    511,391.93/766,964.87 = 156,409.02/x
  3. Step 3: Cross multiply
    511,391.93x = 766,964.87 × 156,409.02
  4. Step 4: Simplify right side
    511,391.93x = 119,960,222,909.08
  5. Step 5: Solve for x
    x = 119,960,222,909.08/511,391.93
  6. Step 6: Final answer
    x = 234,575.90

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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.