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Finding the Fourth Proportional to 486,678.30, 729,887.85 and 149,718.30

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Solution

The fourth proportional to 486,678.30, 729,887.85 and 149,718.30 is: 224,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,678.30 : 729,887.85 = 149,718.30 : x
  2. Step 2: Convert to fraction form
    486,678.30/729,887.85 = 149,718.30/x
  3. Step 3: Cross multiply
    486,678.30x = 729,887.85 × 149,718.30
  4. Step 4: Simplify right side
    486,678.30x = 109,277,568,092.66
  5. Step 5: Solve for x
    x = 109,277,568,092.66/486,678.30
  6. Step 6: Final answer
    x = 224,537.58

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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.