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Finding the Fourth Proportional to 511,814.55, 767,694.15 and 156,829.62

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Solution

The fourth proportional to 511,814.55, 767,694.15 and 156,829.62 is: 235,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,814.55 : 767,694.15 = 156,829.62 : x
  2. Step 2: Convert to fraction form
    511,814.55/767,694.15 = 156,829.62/x
  3. Step 3: Cross multiply
    511,814.55x = 767,694.15 × 156,829.62
  4. Step 4: Simplify right side
    511,814.55x = 120,397,181,820.72
  5. Step 5: Solve for x
    x = 120,397,181,820.72/511,814.55
  6. Step 6: Final answer
    x = 235,235.95

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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.