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Finding the Fourth Proportional to 439,442, 606,429.96 and 238,238

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Solution

The fourth proportional to 439,442, 606,429.96 and 238,238 is: 328,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,442 : 606,429.96 = 238,238 : x
  2. Step 2: Convert to fraction form
    439,442/606,429.96 = 238,238/x
  3. Step 3: Cross multiply
    439,442x = 606,429.96 × 238,238
  4. Step 4: Simplify right side
    439,442x = 144,474,660,810.48
  5. Step 5: Solve for x
    x = 144,474,660,810.48/439,442
  6. Step 6: Final answer
    x = 328,768.44

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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.