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Finding the Fourth Proportional to 311,900.68, 430,426.74 and 175,922.20

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Solution

The fourth proportional to 311,900.68, 430,426.74 and 175,922.20 is: 242,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,900.68 : 430,426.74 = 175,922.20 : x
  2. Step 2: Convert to fraction form
    311,900.68/430,426.74 = 175,922.20/x
  3. Step 3: Cross multiply
    311,900.68x = 430,426.74 × 175,922.20
  4. Step 4: Simplify right side
    311,900.68x = 75,721,619,039.63
  5. Step 5: Solve for x
    x = 75,721,619,039.63/311,900.68
  6. Step 6: Final answer
    x = 242,774.78

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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.