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Finding the Fourth Proportional to 258,255, 387,404.80 and 71,266.48

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Solution

The fourth proportional to 258,255, 387,404.80 and 71,266.48 is: 106,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,255 : 387,404.80 = 71,266.48 : x
  2. Step 2: Convert to fraction form
    258,255/387,404.80 = 71,266.48/x
  3. Step 3: Cross multiply
    258,255x = 387,404.80 × 71,266.48
  4. Step 4: Simplify right side
    258,255x = 27,608,976,431.10
  5. Step 5: Solve for x
    x = 27,608,976,431.10/258,255
  6. Step 6: Final answer
    x = 106,905.87

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1.5x scale

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.