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Finding the Fourth Proportional to 667,703.06, 921,749.52 and 381,167.78

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Solution

The fourth proportional to 667,703.06, 921,749.52 and 381,167.78 is: 526,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,703.06 : 921,749.52 = 381,167.78 : x
  2. Step 2: Convert to fraction form
    667,703.06/921,749.52 = 381,167.78/x
  3. Step 3: Cross multiply
    667,703.06x = 921,749.52 × 381,167.78
  4. Step 4: Simplify right side
    667,703.06x = 351,341,218,254.47
  5. Step 5: Solve for x
    x = 351,341,218,254.47/667,703.06
  6. Step 6: Final answer
    x = 526,193.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.