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Finding the Fourth Proportional to 381,853.40, 572,564.10 and 145,203.80

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Solution

The fourth proportional to 381,853.40, 572,564.10 and 145,203.80 is: 217,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,853.40 : 572,564.10 = 145,203.80 : x
  2. Step 2: Convert to fraction form
    381,853.40/572,564.10 = 145,203.80/x
  3. Step 3: Cross multiply
    381,853.40x = 572,564.10 × 145,203.80
  4. Step 4: Simplify right side
    381,853.40x = 83,138,483,063.58
  5. Step 5: Solve for x
    x = 83,138,483,063.58/381,853.40
  6. Step 6: Final answer
    x = 217,723.56

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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.