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Finding the Fourth Proportional to 256,867.40, 385,301.64 and 138,594.44

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Solution

The fourth proportional to 256,867.40, 385,301.64 and 138,594.44 is: 207,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,867.40 : 385,301.64 = 138,594.44 : x
  2. Step 2: Convert to fraction form
    256,867.40/385,301.64 = 138,594.44/x
  3. Step 3: Cross multiply
    256,867.40x = 385,301.64 × 138,594.44
  4. Step 4: Simplify right side
    256,867.40x = 53,400,665,026.88
  5. Step 5: Solve for x
    x = 53,400,665,026.88/256,867.40
  6. Step 6: Final answer
    x = 207,891.95

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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.