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Finding the Fourth Proportional to 258,085.80, 387,128.70 and 254,149.20

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Solution

The fourth proportional to 258,085.80, 387,128.70 and 254,149.20 is: 381,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,085.80 : 387,128.70 = 254,149.20 : x
  2. Step 2: Convert to fraction form
    258,085.80/387,128.70 = 254,149.20/x
  3. Step 3: Cross multiply
    258,085.80x = 387,128.70 × 254,149.20
  4. Step 4: Simplify right side
    258,085.80x = 98,388,449,402.04
  5. Step 5: Solve for x
    x = 98,388,449,402.04/258,085.80
  6. Step 6: Final answer
    x = 381,223.80

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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.