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Finding the Fourth Proportional to 354,081.90, 531,221.40 and 154,419.78

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Solution

The fourth proportional to 354,081.90, 531,221.40 and 154,419.78 is: 231,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,081.90 : 531,221.40 = 154,419.78 : x
  2. Step 2: Convert to fraction form
    354,081.90/531,221.40 = 154,419.78/x
  3. Step 3: Cross multiply
    354,081.90x = 531,221.40 × 154,419.78
  4. Step 4: Simplify right side
    354,081.90x = 82,031,091,719.29
  5. Step 5: Solve for x
    x = 82,031,091,719.29/354,081.90
  6. Step 6: Final answer
    x = 231,672.65

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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.