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Finding the Fourth Proportional to 363,142.98, 501,133.10 and 202,012.11

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Solution

The fourth proportional to 363,142.98, 501,133.10 and 202,012.11 is: 278,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,142.98 : 501,133.10 = 202,012.11 : x
  2. Step 2: Convert to fraction form
    363,142.98/501,133.10 = 202,012.11/x
  3. Step 3: Cross multiply
    363,142.98x = 501,133.10 × 202,012.11
  4. Step 4: Simplify right side
    363,142.98x = 101,234,953,911.78
  5. Step 5: Solve for x
    x = 101,234,953,911.78/363,142.98
  6. Step 6: Final answer
    x = 278,774.37

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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.