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Finding the Fourth Proportional to 460,881.36, 691,443 and 145,348.56

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Solution

The fourth proportional to 460,881.36, 691,443 and 145,348.56 is: 218,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,881.36 : 691,443 = 145,348.56 : x
  2. Step 2: Convert to fraction form
    460,881.36/691,443 = 145,348.56/x
  3. Step 3: Cross multiply
    460,881.36x = 691,443 × 145,348.56
  4. Step 4: Simplify right side
    460,881.36x = 100,500,244,372.08
  5. Step 5: Solve for x
    x = 100,500,244,372.08/460,881.36
  6. Step 6: Final answer
    x = 218,060.99

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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.