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Finding the Fourth Proportional to 311,367.70, 429,728.25 and 175,427.88

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Solution

The fourth proportional to 311,367.70, 429,728.25 and 175,427.88 is: 242,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,367.70 : 429,728.25 = 175,427.88 : x
  2. Step 2: Convert to fraction form
    311,367.70/429,728.25 = 175,427.88/x
  3. Step 3: Cross multiply
    311,367.70x = 429,728.25 × 175,427.88
  4. Step 4: Simplify right side
    311,367.70x = 75,386,315,873.61
  5. Step 5: Solve for x
    x = 75,386,315,873.61/311,367.70
  6. Step 6: Final answer
    x = 242,113.48

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1.5x scale

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.