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Finding the Fourth Proportional to 283,147.60, 424,721.40 and 272,261.20

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Solution

The fourth proportional to 283,147.60, 424,721.40 and 272,261.20 is: 408,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,147.60 : 424,721.40 = 272,261.20 : x
  2. Step 2: Convert to fraction form
    283,147.60/424,721.40 = 272,261.20/x
  3. Step 3: Cross multiply
    283,147.60x = 424,721.40 × 272,261.20
  4. Step 4: Simplify right side
    283,147.60x = 115,635,158,029.68
  5. Step 5: Solve for x
    x = 115,635,158,029.68/283,147.60
  6. Step 6: Final answer
    x = 408,391.80

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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.