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Finding the Fourth Proportional to 305,337.06, 458,721.21 and 288,082.71

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Solution

The fourth proportional to 305,337.06, 458,721.21 and 288,082.71 is: 432,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,337.06 : 458,721.21 = 288,082.71 : x
  2. Step 2: Convert to fraction form
    305,337.06/458,721.21 = 288,082.71/x
  3. Step 3: Cross multiply
    305,337.06x = 458,721.21 × 288,082.71
  4. Step 4: Simplify right side
    305,337.06x = 132,149,649,311.28
  5. Step 5: Solve for x
    x = 132,149,649,311.28/305,337.06
  6. Step 6: Final answer
    x = 432,799.25

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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.