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Finding the Fourth Proportional to 295,060.20, 442,719.90 and 137,207.40

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Solution

The fourth proportional to 295,060.20, 442,719.90 and 137,207.40 is: 205,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,060.20 : 442,719.90 = 137,207.40 : x
  2. Step 2: Convert to fraction form
    295,060.20/442,719.90 = 137,207.40/x
  3. Step 3: Cross multiply
    295,060.20x = 442,719.90 × 137,207.40
  4. Step 4: Simplify right side
    295,060.20x = 60,744,446,407.26
  5. Step 5: Solve for x
    x = 60,744,446,407.26/295,060.20
  6. Step 6: Final answer
    x = 205,871.37

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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.