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Finding the Fourth Proportional to 254,879.43, 382,294.41 and 77,387.98

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Solution

The fourth proportional to 254,879.43, 382,294.41 and 77,387.98 is: 116,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,879.43 : 382,294.41 = 77,387.98 : x
  2. Step 2: Convert to fraction form
    254,879.43/382,294.41 = 77,387.98/x
  3. Step 3: Cross multiply
    254,879.43x = 382,294.41 × 77,387.98
  4. Step 4: Simplify right side
    254,879.43x = 29,584,991,199.46
  5. Step 5: Solve for x
    x = 29,584,991,199.46/254,879.43
  6. Step 6: Final answer
    x = 116,074.46

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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.