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Finding the Fourth Proportional to 256,499.34, 384,749.10 and 66,959.17

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Solution

The fourth proportional to 256,499.34, 384,749.10 and 66,959.17 is: 100,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,499.34 : 384,749.10 = 66,959.17 : x
  2. Step 2: Convert to fraction form
    256,499.34/384,749.10 = 66,959.17/x
  3. Step 3: Cross multiply
    256,499.34x = 384,749.10 × 66,959.17
  4. Step 4: Simplify right side
    256,499.34x = 25,762,480,394.25
  5. Step 5: Solve for x
    x = 25,762,480,394.25/256,499.34
  6. Step 6: Final answer
    x = 100,438.78

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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.