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Finding the Fourth Proportional to 665,344, 918,174.72 and 363,538

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Solution

The fourth proportional to 665,344, 918,174.72 and 363,538 is: 501,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,344 : 918,174.72 = 363,538 : x
  2. Step 2: Convert to fraction form
    665,344/918,174.72 = 363,538/x
  3. Step 3: Cross multiply
    665,344x = 918,174.72 × 363,538
  4. Step 4: Simplify right side
    665,344x = 333,791,401,359.36
  5. Step 5: Solve for x
    x = 333,791,401,359.36/665,344
  6. Step 6: Final answer
    x = 501,682.44

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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.