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Finding the Fourth Proportional to 256,257.80, 384,423.44 and 78,779.68

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Solution

The fourth proportional to 256,257.80, 384,423.44 and 78,779.68 is: 118,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,257.80 : 384,423.44 = 78,779.68 : x
  2. Step 2: Convert to fraction form
    256,257.80/384,423.44 = 78,779.68/x
  3. Step 3: Cross multiply
    256,257.80x = 384,423.44 × 78,779.68
  4. Step 4: Simplify right side
    256,257.80x = 30,284,755,587.70
  5. Step 5: Solve for x
    x = 30,284,755,587.70/256,257.80
  6. Step 6: Final answer
    x = 118,180.81

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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.