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Finding the Fourth Proportional to 311,393.19, 429,723.92 and 175,428.76

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Solution

The fourth proportional to 311,393.19, 429,723.92 and 175,428.76 is: 242,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,393.19 : 429,723.92 = 175,428.76 : x
  2. Step 2: Convert to fraction form
    311,393.19/429,723.92 = 175,428.76/x
  3. Step 3: Cross multiply
    311,393.19x = 429,723.92 × 175,428.76
  4. Step 4: Simplify right side
    311,393.19x = 75,385,934,427.94
  5. Step 5: Solve for x
    x = 75,385,934,427.94/311,393.19
  6. Step 6: Final answer
    x = 242,092.43

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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.