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Finding the Fourth Proportional to 363,442.68, 501,542.55 and 202,287.78

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Solution

The fourth proportional to 363,442.68, 501,542.55 and 202,287.78 is: 279,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,442.68 : 501,542.55 = 202,287.78 : x
  2. Step 2: Convert to fraction form
    363,442.68/501,542.55 = 202,287.78/x
  3. Step 3: Cross multiply
    363,442.68x = 501,542.55 × 202,287.78
  4. Step 4: Simplify right side
    363,442.68x = 101,455,929,015.04
  5. Step 5: Solve for x
    x = 101,455,929,015.04/363,442.68
  6. Step 6: Final answer
    x = 279,152.49

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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.