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Finding the Fourth Proportional to 311,418.14, 429,758.43 and 175,454.17

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Solution

The fourth proportional to 311,418.14, 429,758.43 and 175,454.17 is: 242,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,418.14 : 429,758.43 = 175,454.17 : x
  2. Step 2: Convert to fraction form
    311,418.14/429,758.43 = 175,454.17/x
  3. Step 3: Cross multiply
    311,418.14x = 429,758.43 × 175,454.17
  4. Step 4: Simplify right side
    311,418.14x = 75,402,906,903.80
  5. Step 5: Solve for x
    x = 75,402,906,903.80/311,418.14
  6. Step 6: Final answer
    x = 242,127.54

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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.