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Finding the Fourth Proportional to 511,658.70, 767,545.65 and 156,669.90

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Solution

The fourth proportional to 511,658.70, 767,545.65 and 156,669.90 is: 235,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,658.70 : 767,545.65 = 156,669.90 : x
  2. Step 2: Convert to fraction form
    511,658.70/767,545.65 = 156,669.90/x
  3. Step 3: Cross multiply
    511,658.70x = 767,545.65 × 156,669.90
  4. Step 4: Simplify right side
    511,658.70x = 120,251,300,230.94
  5. Step 5: Solve for x
    x = 120,251,300,230.94/511,658.70
  6. Step 6: Final answer
    x = 235,022.49

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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.