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Finding the Fourth Proportional to 861,239, 1,291,481.54 and 434,512.28

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Solution

The fourth proportional to 861,239, 1,291,481.54 and 434,512.28 is: 651,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,239 : 1,291,481.54 = 434,512.28 : x
  2. Step 2: Convert to fraction form
    861,239/1,291,481.54 = 434,512.28/x
  3. Step 3: Cross multiply
    861,239x = 1,291,481.54 × 434,512.28
  4. Step 4: Simplify right side
    861,239x = 561,164,588,523.31
  5. Step 5: Solve for x
    x = 561,164,588,523.31/861,239
  6. Step 6: Final answer
    x = 651,578.24

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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.