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Finding the Fourth Proportional to 311,712.16, 430,154.17 and 175,744.92

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Solution

The fourth proportional to 311,712.16, 430,154.17 and 175,744.92 is: 242,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,712.16 : 430,154.17 = 175,744.92 : x
  2. Step 2: Convert to fraction form
    311,712.16/430,154.17 = 175,744.92/x
  3. Step 3: Cross multiply
    311,712.16x = 430,154.17 × 175,744.92
  4. Step 4: Simplify right side
    311,712.16x = 75,597,410,194.32
  5. Step 5: Solve for x
    x = 75,597,410,194.32/311,712.16
  6. Step 6: Final answer
    x = 242,523.13

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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.