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Finding the Fourth Proportional to 271,482.40, 408,098.40 and 193,139.20

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Solution

The fourth proportional to 271,482.40, 408,098.40 and 193,139.20 is: 290,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,482.40 : 408,098.40 = 193,139.20 : x
  2. Step 2: Convert to fraction form
    271,482.40/408,098.40 = 193,139.20/x
  3. Step 3: Cross multiply
    271,482.40x = 408,098.40 × 193,139.20
  4. Step 4: Simplify right side
    271,482.40x = 78,819,798,497.28
  5. Step 5: Solve for x
    x = 78,819,798,497.28/271,482.40
  6. Step 6: Final answer
    x = 290,331.15

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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.