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Finding the Fourth Proportional to 256,498.80, 384,754.80 and 121,531.20

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Solution

The fourth proportional to 256,498.80, 384,754.80 and 121,531.20 is: 182,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.80 : 384,754.80 = 121,531.20 : x
  2. Step 2: Convert to fraction form
    256,498.80/384,754.80 = 121,531.20/x
  3. Step 3: Cross multiply
    256,498.80x = 384,754.80 × 121,531.20
  4. Step 4: Simplify right side
    256,498.80x = 46,759,712,549.76
  5. Step 5: Solve for x
    x = 46,759,712,549.76/256,498.80
  6. Step 6: Final answer
    x = 182,299.93

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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.