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Finding the Fourth Proportional to 498,686.49, 748,134.83 and 161,700.89

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Solution

The fourth proportional to 498,686.49, 748,134.83 and 161,700.89 is: 242,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,686.49 : 748,134.83 = 161,700.89 : x
  2. Step 2: Convert to fraction form
    498,686.49/748,134.83 = 161,700.89/x
  3. Step 3: Cross multiply
    498,686.49x = 748,134.83 × 161,700.89
  4. Step 4: Simplify right side
    498,686.49x = 120,974,064,514.58
  5. Step 5: Solve for x
    x = 120,974,064,514.58/498,686.49
  6. Step 6: Final answer
    x = 242,585.41

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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.