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Finding the Fourth Proportional to 408,049, 563,174.40 and 339,958

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Solution

The fourth proportional to 408,049, 563,174.40 and 339,958 is: 469,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,049 : 563,174.40 = 339,958 : x
  2. Step 2: Convert to fraction form
    408,049/563,174.40 = 339,958/x
  3. Step 3: Cross multiply
    408,049x = 563,174.40 × 339,958
  4. Step 4: Simplify right side
    408,049x = 191,455,642,675.20
  5. Step 5: Solve for x
    x = 191,455,642,675.20/408,049
  6. Step 6: Final answer
    x = 469,197.68

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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.