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Finding the Fourth Proportional to 363,976, 502,290.54 and 200,638.32

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Solution

The fourth proportional to 363,976, 502,290.54 and 200,638.32 is: 276,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,976 : 502,290.54 = 200,638.32 : x
  2. Step 2: Convert to fraction form
    363,976/502,290.54 = 200,638.32/x
  3. Step 3: Cross multiply
    363,976x = 502,290.54 × 200,638.32
  4. Step 4: Simplify right side
    363,976x = 100,778,730,097.49
  5. Step 5: Solve for x
    x = 100,778,730,097.49/363,976
  6. Step 6: Final answer
    x = 276,882.90

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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.