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Finding the Fourth Proportional to 275,489.69, 413,045.88 and 140,292.06

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Solution

The fourth proportional to 275,489.69, 413,045.88 and 140,292.06 is: 210,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.69 : 413,045.88 = 140,292.06 : x
  2. Step 2: Convert to fraction form
    275,489.69/413,045.88 = 140,292.06/x
  3. Step 3: Cross multiply
    275,489.69x = 413,045.88 × 140,292.06
  4. Step 4: Simplify right side
    275,489.69x = 57,947,055,314.48
  5. Step 5: Solve for x
    x = 57,947,055,314.48/275,489.69
  6. Step 6: Final answer
    x = 210,342.01

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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.