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Finding the Fourth Proportional to 381,764.26, 572,148.24 and 213,277.78

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Solution

The fourth proportional to 381,764.26, 572,148.24 and 213,277.78 is: 319,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,764.26 : 572,148.24 = 213,277.78 : x
  2. Step 2: Convert to fraction form
    381,764.26/572,148.24 = 213,277.78/x
  3. Step 3: Cross multiply
    381,764.26x = 572,148.24 × 213,277.78
  4. Step 4: Simplify right side
    381,764.26x = 122,026,506,458.11
  5. Step 5: Solve for x
    x = 122,026,506,458.11/381,764.26
  6. Step 6: Final answer
    x = 319,638.37

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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.