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Finding the Fourth Proportional to 204,480.90, 307,049.40 and 138,214.80

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Solution

The fourth proportional to 204,480.90, 307,049.40 and 138,214.80 is: 207,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,480.90 : 307,049.40 = 138,214.80 : x
  2. Step 2: Convert to fraction form
    204,480.90/307,049.40 = 138,214.80/x
  3. Step 3: Cross multiply
    204,480.90x = 307,049.40 × 138,214.80
  4. Step 4: Simplify right side
    204,480.90x = 42,438,771,411.12
  5. Step 5: Solve for x
    x = 42,438,771,411.12/204,480.90
  6. Step 6: Final answer
    x = 207,543.94

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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.