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Finding the Fourth Proportional to 447,894.78, 671,936.94 and 148,358.40

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Solution

The fourth proportional to 447,894.78, 671,936.94 and 148,358.40 is: 222,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,894.78 : 671,936.94 = 148,358.40 : x
  2. Step 2: Convert to fraction form
    447,894.78/671,936.94 = 148,358.40/x
  3. Step 3: Cross multiply
    447,894.78x = 671,936.94 × 148,358.40
  4. Step 4: Simplify right side
    447,894.78x = 99,687,489,319.30
  5. Step 5: Solve for x
    x = 99,687,489,319.30/447,894.78
  6. Step 6: Final answer
    x = 222,568.99

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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.