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Finding the Fourth Proportional to 256,490.20, 384,044.10 and 185,987.80

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Solution

The fourth proportional to 256,490.20, 384,044.10 and 185,987.80 is: 278,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,490.20 : 384,044.10 = 185,987.80 : x
  2. Step 2: Convert to fraction form
    256,490.20/384,044.10 = 185,987.80/x
  3. Step 3: Cross multiply
    256,490.20x = 384,044.10 × 185,987.80
  4. Step 4: Simplify right side
    256,490.20x = 71,427,517,261.98
  5. Step 5: Solve for x
    x = 71,427,517,261.98/256,490.20
  6. Step 6: Final answer
    x = 278,480.49

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1.5x scale

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.