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Finding the Fourth Proportional to 256,073.60, 384,139.20 and 78,579.20

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Solution

The fourth proportional to 256,073.60, 384,139.20 and 78,579.20 is: 117,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,073.60 : 384,139.20 = 78,579.20 : x
  2. Step 2: Convert to fraction form
    256,073.60/384,139.20 = 78,579.20/x
  3. Step 3: Cross multiply
    256,073.60x = 384,139.20 × 78,579.20
  4. Step 4: Simplify right side
    256,073.60x = 30,185,351,024.64
  5. Step 5: Solve for x
    x = 30,185,351,024.64/256,073.60
  6. Step 6: Final answer
    x = 117,877.64

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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.