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Finding the Fourth Proportional to 256,932.36, 384,983.82 and 158,229

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Solution

The fourth proportional to 256,932.36, 384,983.82 and 158,229 is: 237,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,932.36 : 384,983.82 = 158,229 : x
  2. Step 2: Convert to fraction form
    256,932.36/384,983.82 = 158,229/x
  3. Step 3: Cross multiply
    256,932.36x = 384,983.82 × 158,229
  4. Step 4: Simplify right side
    256,932.36x = 60,915,604,854.78
  5. Step 5: Solve for x
    x = 60,915,604,854.78/256,932.36
  6. Step 6: Final answer
    x = 237,088.10

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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.