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Finding the Fourth Proportional to 256,822.40, 385,233.60 and 130,851.20

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Solution

The fourth proportional to 256,822.40, 385,233.60 and 130,851.20 is: 196,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.40 : 385,233.60 = 130,851.20 : x
  2. Step 2: Convert to fraction form
    256,822.40/385,233.60 = 130,851.20/x
  3. Step 3: Cross multiply
    256,822.40x = 385,233.60 × 130,851.20
  4. Step 4: Simplify right side
    256,822.40x = 50,408,278,840.32
  5. Step 5: Solve for x
    x = 50,408,278,840.32/256,822.40
  6. Step 6: Final answer
    x = 196,276.80

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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.