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Finding the Fourth Proportional to 275,978.32, 413,967.51 and 86,453.46

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Solution

The fourth proportional to 275,978.32, 413,967.51 and 86,453.46 is: 129,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,978.32 : 413,967.51 = 86,453.46 : x
  2. Step 2: Convert to fraction form
    275,978.32/413,967.51 = 86,453.46/x
  3. Step 3: Cross multiply
    275,978.32x = 413,967.51 × 86,453.46
  4. Step 4: Simplify right side
    275,978.32x = 35,788,921,497.25
  5. Step 5: Solve for x
    x = 35,788,921,497.25/275,978.32
  6. Step 6: Final answer
    x = 129,680.19

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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.