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Finding the Fourth Proportional to 306,721.80, 460,082.70 and 85,105.80

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Solution

The fourth proportional to 306,721.80, 460,082.70 and 85,105.80 is: 127,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,721.80 : 460,082.70 = 85,105.80 : x
  2. Step 2: Convert to fraction form
    306,721.80/460,082.70 = 85,105.80/x
  3. Step 3: Cross multiply
    306,721.80x = 460,082.70 × 85,105.80
  4. Step 4: Simplify right side
    306,721.80x = 39,155,706,249.66
  5. Step 5: Solve for x
    x = 39,155,706,249.66/306,721.80
  6. Step 6: Final answer
    x = 127,658.70

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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.