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Finding the Fourth Proportional to 447,820.64, 671,768.91 and 127,974.32

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Solution

The fourth proportional to 447,820.64, 671,768.91 and 127,974.32 is: 191,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,820.64 : 671,768.91 = 127,974.32 : x
  2. Step 2: Convert to fraction form
    447,820.64/671,768.91 = 127,974.32/x
  3. Step 3: Cross multiply
    447,820.64x = 671,768.91 × 127,974.32
  4. Step 4: Simplify right side
    447,820.64x = 85,969,169,454.39
  5. Step 5: Solve for x
    x = 85,969,169,454.39/447,820.64
  6. Step 6: Final answer
    x = 191,972.33

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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.