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Finding the Fourth Proportional to 311,411.14, 429,756.34 and 175,446.58

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Solution

The fourth proportional to 311,411.14, 429,756.34 and 175,446.58 is: 242,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,411.14 : 429,756.34 = 175,446.58 : x
  2. Step 2: Convert to fraction form
    311,411.14/429,756.34 = 175,446.58/x
  3. Step 3: Cross multiply
    311,411.14x = 429,756.34 × 175,446.58
  4. Step 4: Simplify right side
    311,411.14x = 75,399,280,086.32
  5. Step 5: Solve for x
    x = 75,399,280,086.32/311,411.14
  6. Step 6: Final answer
    x = 242,121.33

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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.