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Finding the Fourth Proportional to 363,645.28, 501,829.12 and 202,502.40

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Solution

The fourth proportional to 363,645.28, 501,829.12 and 202,502.40 is: 279,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,645.28 : 501,829.12 = 202,502.40 : x
  2. Step 2: Convert to fraction form
    363,645.28/501,829.12 = 202,502.40/x
  3. Step 3: Cross multiply
    363,645.28x = 501,829.12 × 202,502.40
  4. Step 4: Simplify right side
    363,645.28x = 101,621,601,189.89
  5. Step 5: Solve for x
    x = 101,621,601,189.89/363,645.28
  6. Step 6: Final answer
    x = 279,452.55

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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.