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Finding the Fourth Proportional to 381,630.23, 572,707.82 and 132,312.23

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Solution

The fourth proportional to 381,630.23, 572,707.82 and 132,312.23 is: 198,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,630.23 : 572,707.82 = 132,312.23 : x
  2. Step 2: Convert to fraction form
    381,630.23/572,707.82 = 132,312.23/x
  3. Step 3: Cross multiply
    381,630.23x = 572,707.82 × 132,312.23
  4. Step 4: Simplify right side
    381,630.23x = 75,776,250,894.76
  5. Step 5: Solve for x
    x = 75,776,250,894.76/381,630.23
  6. Step 6: Final answer
    x = 198,559.35

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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.