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Finding the Fourth Proportional to 279,643.88, 385,958.57 and 164,915.48

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Solution

The fourth proportional to 279,643.88, 385,958.57 and 164,915.48 is: 227,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,643.88 : 385,958.57 = 164,915.48 : x
  2. Step 2: Convert to fraction form
    279,643.88/385,958.57 = 164,915.48/x
  3. Step 3: Cross multiply
    279,643.88x = 385,958.57 × 164,915.48
  4. Step 4: Simplify right side
    279,643.88x = 63,650,540,077.29
  5. Step 5: Solve for x
    x = 63,650,540,077.29/279,643.88
  6. Step 6: Final answer
    x = 227,612.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.