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Finding the Fourth Proportional to 272,915.20, 409,372.80 and 123,227.20

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Solution

The fourth proportional to 272,915.20, 409,372.80 and 123,227.20 is: 184,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,915.20 : 409,372.80 = 123,227.20 : x
  2. Step 2: Convert to fraction form
    272,915.20/409,372.80 = 123,227.20/x
  3. Step 3: Cross multiply
    272,915.20x = 409,372.80 × 123,227.20
  4. Step 4: Simplify right side
    272,915.20x = 50,445,863,900.16
  5. Step 5: Solve for x
    x = 50,445,863,900.16/272,915.20
  6. Step 6: Final answer
    x = 184,840.80

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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.