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Finding the Fourth Proportional to 304,531.20, 456,825.60 and 82,915.20

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Solution

The fourth proportional to 304,531.20, 456,825.60 and 82,915.20 is: 124,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,531.20 : 456,825.60 = 82,915.20 : x
  2. Step 2: Convert to fraction form
    304,531.20/456,825.60 = 82,915.20/x
  3. Step 3: Cross multiply
    304,531.20x = 456,825.60 × 82,915.20
  4. Step 4: Simplify right side
    304,531.20x = 37,877,785,989.12
  5. Step 5: Solve for x
    x = 37,877,785,989.12/304,531.20
  6. Step 6: Final answer
    x = 124,380.64

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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.