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Finding the Fourth Proportional to 272,915.40, 409,373.10 and 261,397.20

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Solution

The fourth proportional to 272,915.40, 409,373.10 and 261,397.20 is: 392,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,915.40 : 409,373.10 = 261,397.20 : x
  2. Step 2: Convert to fraction form
    272,915.40/409,373.10 = 261,397.20/x
  3. Step 3: Cross multiply
    272,915.40x = 409,373.10 × 261,397.20
  4. Step 4: Simplify right side
    272,915.40x = 107,008,982,095.32
  5. Step 5: Solve for x
    x = 107,008,982,095.32/272,915.40
  6. Step 6: Final answer
    x = 392,095.80

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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.