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Finding the Fourth Proportional to 372,909.71, 514,576.80 and 209,540.27

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Solution

The fourth proportional to 372,909.71, 514,576.80 and 209,540.27 is: 289,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,909.71 : 514,576.80 = 209,540.27 : x
  2. Step 2: Convert to fraction form
    372,909.71/514,576.80 = 209,540.27/x
  3. Step 3: Cross multiply
    372,909.71x = 514,576.80 × 209,540.27
  4. Step 4: Simplify right side
    372,909.71x = 107,824,561,607.74
  5. Step 5: Solve for x
    x = 107,824,561,607.74/372,909.71
  6. Step 6: Final answer
    x = 289,143.88

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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.