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Finding the Fourth Proportional to 407,060.12, 610,645.76 and 140,749.12

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Solution

The fourth proportional to 407,060.12, 610,645.76 and 140,749.12 is: 211,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,060.12 : 610,645.76 = 140,749.12 : x
  2. Step 2: Convert to fraction form
    407,060.12/610,645.76 = 140,749.12/x
  3. Step 3: Cross multiply
    407,060.12x = 610,645.76 × 140,749.12
  4. Step 4: Simplify right side
    407,060.12x = 85,947,853,351.73
  5. Step 5: Solve for x
    x = 85,947,853,351.73/407,060.12
  6. Step 6: Final answer
    x = 211,142.90

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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.