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Finding the Fourth Proportional to 381,680.30, 572,030.85 and 213,200.30

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Solution

The fourth proportional to 381,680.30, 572,030.85 and 213,200.30 is: 319,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,680.30 : 572,030.85 = 213,200.30 : x
  2. Step 2: Convert to fraction form
    381,680.30/572,030.85 = 213,200.30/x
  3. Step 3: Cross multiply
    381,680.30x = 572,030.85 × 213,200.30
  4. Step 4: Simplify right side
    381,680.30x = 121,957,148,829.26
  5. Step 5: Solve for x
    x = 121,957,148,829.26/381,680.30
  6. Step 6: Final answer
    x = 319,526.97

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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.