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Finding the Fourth Proportional to 381,909.84, 572,866.02 and 142,076.33

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Solution

The fourth proportional to 381,909.84, 572,866.02 and 142,076.33 is: 213,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,909.84 : 572,866.02 = 142,076.33 : x
  2. Step 2: Convert to fraction form
    381,909.84/572,866.02 = 142,076.33/x
  3. Step 3: Cross multiply
    381,909.84x = 572,866.02 × 142,076.33
  4. Step 4: Simplify right side
    381,909.84x = 81,390,700,987.22
  5. Step 5: Solve for x
    x = 81,390,700,987.22/381,909.84
  6. Step 6: Final answer
    x = 213,114.96

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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.