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Finding the Fourth Proportional to 256,821.60, 385,261.20 and 79,327.20

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Solution

The fourth proportional to 256,821.60, 385,261.20 and 79,327.20 is: 118,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,821.60 : 385,261.20 = 79,327.20 : x
  2. Step 2: Convert to fraction form
    256,821.60/385,261.20 = 79,327.20/x
  3. Step 3: Cross multiply
    256,821.60x = 385,261.20 × 79,327.20
  4. Step 4: Simplify right side
    256,821.60x = 30,561,692,264.64
  5. Step 5: Solve for x
    x = 30,561,692,264.64/256,821.60
  6. Step 6: Final answer
    x = 118,999.70

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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.