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Finding the Fourth Proportional to 438,960, 605,764.80 and 237,756

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Solution

The fourth proportional to 438,960, 605,764.80 and 237,756 is: 328,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,960 : 605,764.80 = 237,756 : x
  2. Step 2: Convert to fraction form
    438,960/605,764.80 = 237,756/x
  3. Step 3: Cross multiply
    438,960x = 605,764.80 × 237,756
  4. Step 4: Simplify right side
    438,960x = 144,024,215,788.80
  5. Step 5: Solve for x
    x = 144,024,215,788.80/438,960
  6. Step 6: Final answer
    x = 328,103.28

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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.