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Finding the Fourth Proportional to 256,561.56, 384,920.10 and 123,404.04

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Solution

The fourth proportional to 256,561.56, 384,920.10 and 123,404.04 is: 185,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,561.56 : 384,920.10 = 123,404.04 : x
  2. Step 2: Convert to fraction form
    256,561.56/384,920.10 = 123,404.04/x
  3. Step 3: Cross multiply
    256,561.56x = 384,920.10 × 123,404.04
  4. Step 4: Simplify right side
    256,561.56x = 47,500,695,417.20
  5. Step 5: Solve for x
    x = 47,500,695,417.20/256,561.56
  6. Step 6: Final answer
    x = 185,143.46

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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.