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Finding the Fourth Proportional to 254,512.90, 381,878.70 and 129,853.90

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Solution

The fourth proportional to 254,512.90, 381,878.70 and 129,853.90 is: 194,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,512.90 : 381,878.70 = 129,853.90 : x
  2. Step 2: Convert to fraction form
    254,512.90/381,878.70 = 129,853.90/x
  3. Step 3: Cross multiply
    254,512.90x = 381,878.70 × 129,853.90
  4. Step 4: Simplify right side
    254,512.90x = 49,588,438,521.93
  5. Step 5: Solve for x
    x = 49,588,438,521.93/254,512.90
  6. Step 6: Final answer
    x = 194,836.64

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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.