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Finding the Fourth Proportional to 538,158.71, 806,842.78 and 257,872.79

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Solution

The fourth proportional to 538,158.71, 806,842.78 and 257,872.79 is: 386,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,158.71 : 806,842.78 = 257,872.79 : x
  2. Step 2: Convert to fraction form
    538,158.71/806,842.78 = 257,872.79/x
  3. Step 3: Cross multiply
    538,158.71x = 806,842.78 × 257,872.79
  4. Step 4: Simplify right side
    538,158.71x = 208,062,798,769.96
  5. Step 5: Solve for x
    x = 208,062,798,769.96/538,158.71
  6. Step 6: Final answer
    x = 386,619.77

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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.