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Finding the Fourth Proportional to 311,468, 429,826.48 and 177,332

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Solution

The fourth proportional to 311,468, 429,826.48 and 177,332 is: 244,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,468 : 429,826.48 = 177,332 : x
  2. Step 2: Convert to fraction form
    311,468/429,826.48 = 177,332/x
  3. Step 3: Cross multiply
    311,468x = 429,826.48 × 177,332
  4. Step 4: Simplify right side
    311,468x = 76,221,989,351.36
  5. Step 5: Solve for x
    x = 76,221,989,351.36/311,468
  6. Step 6: Final answer
    x = 244,718.52

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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.