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Finding the Fourth Proportional to 486,147.70, 728,601.90 and 272,915.20

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Solution

The fourth proportional to 486,147.70, 728,601.90 and 272,915.20 is: 409,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,147.70 : 728,601.90 = 272,915.20 : x
  2. Step 2: Convert to fraction form
    486,147.70/728,601.90 = 272,915.20/x
  3. Step 3: Cross multiply
    486,147.70x = 728,601.90 × 272,915.20
  4. Step 4: Simplify right side
    486,147.70x = 198,846,533,258.88
  5. Step 5: Solve for x
    x = 198,846,533,258.88/486,147.70
  6. Step 6: Final answer
    x = 409,024.94

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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.