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Finding the Fourth Proportional to 411,182.97, 615,279.75 and 339,438.42

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Solution

The fourth proportional to 411,182.97, 615,279.75 and 339,438.42 is: 507,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,182.97 : 615,279.75 = 339,438.42 : x
  2. Step 2: Convert to fraction form
    411,182.97/615,279.75 = 339,438.42/x
  3. Step 3: Cross multiply
    411,182.97x = 615,279.75 × 339,438.42
  4. Step 4: Simplify right side
    411,182.97x = 208,849,586,198.00
  5. Step 5: Solve for x
    x = 208,849,586,198.00/411,182.97
  6. Step 6: Final answer
    x = 507,923.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.