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Finding the Fourth Proportional to 381,929.64, 527,077.86 and 261,323.88

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Solution

The fourth proportional to 381,929.64, 527,077.86 and 261,323.88 is: 360,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,929.64 : 527,077.86 = 261,323.88 : x
  2. Step 2: Convert to fraction form
    381,929.64/527,077.86 = 261,323.88/x
  3. Step 3: Cross multiply
    381,929.64x = 527,077.86 × 261,323.88
  4. Step 4: Simplify right side
    381,929.64x = 137,738,031,437.30
  5. Step 5: Solve for x
    x = 137,738,031,437.30/381,929.64
  6. Step 6: Final answer
    x = 360,637.19

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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.