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Finding the Fourth Proportional to 221,509.96, 332,342.70 and 138,306.76

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Solution

The fourth proportional to 221,509.96, 332,342.70 and 138,306.76 is: 207,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,509.96 : 332,342.70 = 138,306.76 : x
  2. Step 2: Convert to fraction form
    221,509.96/332,342.70 = 138,306.76/x
  3. Step 3: Cross multiply
    221,509.96x = 332,342.70 × 138,306.76
  4. Step 4: Simplify right side
    221,509.96x = 45,965,242,046.65
  5. Step 5: Solve for x
    x = 45,965,242,046.65/221,509.96
  6. Step 6: Final answer
    x = 207,508.69

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1.5x scale

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.