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Finding the Fourth Proportional to 258,323.04, 387,484.02 and 71,334

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Solution

The fourth proportional to 258,323.04, 387,484.02 and 71,334 is: 107,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,323.04 : 387,484.02 = 71,334 : x
  2. Step 2: Convert to fraction form
    258,323.04/387,484.02 = 71,334/x
  3. Step 3: Cross multiply
    258,323.04x = 387,484.02 × 71,334
  4. Step 4: Simplify right side
    258,323.04x = 27,640,785,082.68
  5. Step 5: Solve for x
    x = 27,640,785,082.68/258,323.04
  6. Step 6: Final answer
    x = 107,000.85

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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.