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Finding the Fourth Proportional to 311,543.64, 430,073.74 and 182,464.20

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Solution

The fourth proportional to 311,543.64, 430,073.74 and 182,464.20 is: 251,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,543.64 : 430,073.74 = 182,464.20 : x
  2. Step 2: Convert to fraction form
    311,543.64/430,073.74 = 182,464.20/x
  3. Step 3: Cross multiply
    311,543.64x = 430,073.74 × 182,464.20
  4. Step 4: Simplify right side
    311,543.64x = 78,473,060,910.11
  5. Step 5: Solve for x
    x = 78,473,060,910.11/311,543.64
  6. Step 6: Final answer
    x = 251,884.65

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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.