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Finding the Fourth Proportional to 328,116.81, 491,848.19 and 138,624.87

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Solution

The fourth proportional to 328,116.81, 491,848.19 and 138,624.87 is: 207,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,116.81 : 491,848.19 = 138,624.87 : x
  2. Step 2: Convert to fraction form
    328,116.81/491,848.19 = 138,624.87/x
  3. Step 3: Cross multiply
    328,116.81x = 491,848.19 × 138,624.87
  4. Step 4: Simplify right side
    328,116.81x = 68,182,391,398.49
  5. Step 5: Solve for x
    x = 68,182,391,398.49/328,116.81
  6. Step 6: Final answer
    x = 207,799.14

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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.