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Finding the Fourth Proportional to 411,293.50, 616,714.16 and 126,906.45

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Solution

The fourth proportional to 411,293.50, 616,714.16 and 126,906.45 is: 190,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,293.50 : 616,714.16 = 126,906.45 : x
  2. Step 2: Convert to fraction form
    411,293.50/616,714.16 = 126,906.45/x
  3. Step 3: Cross multiply
    411,293.50x = 616,714.16 × 126,906.45
  4. Step 4: Simplify right side
    411,293.50x = 78,265,001,763.12
  5. Step 5: Solve for x
    x = 78,265,001,763.12/411,293.50
  6. Step 6: Final answer
    x = 190,289.91

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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.