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Finding the Fourth Proportional to 407,726.40, 611,589.60 and 256,167.30

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Solution

The fourth proportional to 407,726.40, 611,589.60 and 256,167.30 is: 384,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,726.40 : 611,589.60 = 256,167.30 : x
  2. Step 2: Convert to fraction form
    407,726.40/611,589.60 = 256,167.30/x
  3. Step 3: Cross multiply
    407,726.40x = 611,589.60 × 256,167.30
  4. Step 4: Simplify right side
    407,726.40x = 156,669,256,540.08
  5. Step 5: Solve for x
    x = 156,669,256,540.08/407,726.40
  6. Step 6: Final answer
    x = 384,250.95

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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.