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Finding the Fourth Proportional to 231,274.20, 319,152.24 and 130,672.20

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Solution

The fourth proportional to 231,274.20, 319,152.24 and 130,672.20 is: 180,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,274.20 : 319,152.24 = 130,672.20 : x
  2. Step 2: Convert to fraction form
    231,274.20/319,152.24 = 130,672.20/x
  3. Step 3: Cross multiply
    231,274.20x = 319,152.24 × 130,672.20
  4. Step 4: Simplify right side
    231,274.20x = 41,704,325,335.73
  5. Step 5: Solve for x
    x = 41,704,325,335.73/231,274.20
  6. Step 6: Final answer
    x = 180,324.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.