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Finding the Fourth Proportional to 275,678.88, 413,208.38 and 140,363.12

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Solution

The fourth proportional to 275,678.88, 413,208.38 and 140,363.12 is: 210,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,678.88 : 413,208.38 = 140,363.12 : x
  2. Step 2: Convert to fraction form
    275,678.88/413,208.38 = 140,363.12/x
  3. Step 3: Cross multiply
    275,678.88x = 413,208.38 × 140,363.12
  4. Step 4: Simplify right side
    275,678.88x = 57,999,214,659.09
  5. Step 5: Solve for x
    x = 57,999,214,659.09/275,678.88
  6. Step 6: Final answer
    x = 210,386.86

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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.