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Finding the Fourth Proportional to 538,064.34, 806,542.92 and 238,685.91

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Solution

The fourth proportional to 538,064.34, 806,542.92 and 238,685.91 is: 357,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,064.34 : 806,542.92 = 238,685.91 : x
  2. Step 2: Convert to fraction form
    538,064.34/806,542.92 = 238,685.91/x
  3. Step 3: Cross multiply
    538,064.34x = 806,542.92 × 238,685.91
  4. Step 4: Simplify right side
    538,064.34x = 192,510,427,789.72
  5. Step 5: Solve for x
    x = 192,510,427,789.72/538,064.34
  6. Step 6: Final answer
    x = 357,783.29

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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.