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Finding the Fourth Proportional to 511,658.57, 767,264.90 and 146,839.83

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Solution

The fourth proportional to 511,658.57, 767,264.90 and 146,839.83 is: 220,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,658.57 : 767,264.90 = 146,839.83 : x
  2. Step 2: Convert to fraction form
    511,658.57/767,264.90 = 146,839.83/x
  3. Step 3: Cross multiply
    511,658.57x = 767,264.90 × 146,839.83
  4. Step 4: Simplify right side
    511,658.57x = 112,665,046,746.77
  5. Step 5: Solve for x
    x = 112,665,046,746.77/511,658.57
  6. Step 6: Final answer
    x = 220,195.76

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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.