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Finding the Fourth Proportional to 345,546, 518,319 and 96,228

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Solution

The fourth proportional to 345,546, 518,319 and 96,228 is: 144,342

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,546 : 518,319 = 96,228 : x
  2. Step 2: Convert to fraction form
    345,546/518,319 = 96,228/x
  3. Step 3: Cross multiply
    345,546x = 518,319 × 96,228
  4. Step 4: Simplify right side
    345,546x = 49,876,800,732
  5. Step 5: Solve for x
    x = 49,876,800,732/345,546
  6. Step 6: Final answer
    x = 144,342

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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.