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Finding the Fourth Proportional to 345,600, 518,429.70 and 96,282

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Solution

The fourth proportional to 345,600, 518,429.70 and 96,282 is: 144,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,600 : 518,429.70 = 96,282 : x
  2. Step 2: Convert to fraction form
    345,600/518,429.70 = 96,282/x
  3. Step 3: Cross multiply
    345,600x = 518,429.70 × 96,282
  4. Step 4: Simplify right side
    345,600x = 49,915,448,375.40
  5. Step 5: Solve for x
    x = 49,915,448,375.40/345,600
  6. Step 6: Final answer
    x = 144,431.27

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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.