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Finding the Fourth Proportional to 254,823.52, 382,294.32 and 86,334.88

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Solution

The fourth proportional to 254,823.52, 382,294.32 and 86,334.88 is: 129,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,823.52 : 382,294.32 = 86,334.88 : x
  2. Step 2: Convert to fraction form
    254,823.52/382,294.32 = 86,334.88/x
  3. Step 3: Cross multiply
    254,823.52x = 382,294.32 × 86,334.88
  4. Step 4: Simplify right side
    254,823.52x = 33,005,334,241.88
  5. Step 5: Solve for x
    x = 33,005,334,241.88/254,823.52
  6. Step 6: Final answer
    x = 129,522.32

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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.