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Finding the Fourth Proportional to 256,970.26, 385,290.96 and 123,584.86

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Solution

The fourth proportional to 256,970.26, 385,290.96 and 123,584.86 is: 185,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,970.26 : 385,290.96 = 123,584.86 : x
  2. Step 2: Convert to fraction form
    256,970.26/385,290.96 = 123,584.86/x
  3. Step 3: Cross multiply
    256,970.26x = 385,290.96 × 123,584.86
  4. Step 4: Simplify right side
    256,970.26x = 47,616,129,350.87
  5. Step 5: Solve for x
    x = 47,616,129,350.87/256,970.26
  6. Step 6: Final answer
    x = 185,298.21

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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.