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Finding the Fourth Proportional to 225,984, 338,976 and 78,240

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Solution

The fourth proportional to 225,984, 338,976 and 78,240 is: 117,360

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,984 : 338,976 = 78,240 : x
  2. Step 2: Convert to fraction form
    225,984/338,976 = 78,240/x
  3. Step 3: Cross multiply
    225,984x = 338,976 × 78,240
  4. Step 4: Simplify right side
    225,984x = 26,521,482,240
  5. Step 5: Solve for x
    x = 26,521,482,240/225,984
  6. Step 6: Final answer
    x = 117,360

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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.