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Finding the Fourth Proportional to 280,464, 420,696 and 83,472

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Solution

The fourth proportional to 280,464, 420,696 and 83,472 is: 125,208

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464 : 420,696 = 83,472 : x
  2. Step 2: Convert to fraction form
    280,464/420,696 = 83,472/x
  3. Step 3: Cross multiply
    280,464x = 420,696 × 83,472
  4. Step 4: Simplify right side
    280,464x = 35,116,336,512
  5. Step 5: Solve for x
    x = 35,116,336,512/280,464
  6. Step 6: Final answer
    x = 125,208

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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.