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Finding the Fourth Proportional to 381,615.80, 572,439.26 and 97,313.72

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Solution

The fourth proportional to 381,615.80, 572,439.26 and 97,313.72 is: 145,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,615.80 : 572,439.26 = 97,313.72 : x
  2. Step 2: Convert to fraction form
    381,615.80/572,439.26 = 97,313.72/x
  3. Step 3: Cross multiply
    381,615.80x = 572,439.26 × 97,313.72
  4. Step 4: Simplify right side
    381,615.80x = 55,706,193,864.65
  5. Step 5: Solve for x
    x = 55,706,193,864.65/381,615.80
  6. Step 6: Final answer
    x = 145,974.55

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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.