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Finding the Fourth Proportional to 361,915.20, 542,872.80 and 272,102.40

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Solution

The fourth proportional to 361,915.20, 542,872.80 and 272,102.40 is: 408,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,915.20 : 542,872.80 = 272,102.40 : x
  2. Step 2: Convert to fraction form
    361,915.20/542,872.80 = 272,102.40/x
  3. Step 3: Cross multiply
    361,915.20x = 542,872.80 × 272,102.40
  4. Step 4: Simplify right side
    361,915.20x = 147,716,991,774.72
  5. Step 5: Solve for x
    x = 147,716,991,774.72/361,915.20
  6. Step 6: Final answer
    x = 408,153.60

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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.