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Finding the Fourth Proportional to 256,259.28, 384,425.68 and 78,781.20

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Solution

The fourth proportional to 256,259.28, 384,425.68 and 78,781.20 is: 118,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,259.28 : 384,425.68 = 78,781.20 : x
  2. Step 2: Convert to fraction form
    256,259.28/384,425.68 = 78,781.20/x
  3. Step 3: Cross multiply
    256,259.28x = 384,425.68 × 78,781.20
  4. Step 4: Simplify right side
    256,259.28x = 30,285,516,381.22
  5. Step 5: Solve for x
    x = 30,285,516,381.22/256,259.28
  6. Step 6: Final answer
    x = 118,183.10

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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.