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Finding the Fourth Proportional to 229,419, 316,648.84 and 127,479.50

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Solution

The fourth proportional to 229,419, 316,648.84 and 127,479.50 is: 175,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,419 : 316,648.84 = 127,479.50 : x
  2. Step 2: Convert to fraction form
    229,419/316,648.84 = 127,479.50/x
  3. Step 3: Cross multiply
    229,419x = 316,648.84 × 127,479.50
  4. Step 4: Simplify right side
    229,419x = 40,366,235,798.78
  5. Step 5: Solve for x
    x = 40,366,235,798.78/229,419
  6. Step 6: Final answer
    x = 175,949.84

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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.