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Finding the Fourth Proportional to 257,434.20, 386,151.30 and 212,819.40

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Solution

The fourth proportional to 257,434.20, 386,151.30 and 212,819.40 is: 319,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,434.20 : 386,151.30 = 212,819.40 : x
  2. Step 2: Convert to fraction form
    257,434.20/386,151.30 = 212,819.40/x
  3. Step 3: Cross multiply
    257,434.20x = 386,151.30 × 212,819.40
  4. Step 4: Simplify right side
    257,434.20x = 82,180,487,975.22
  5. Step 5: Solve for x
    x = 82,180,487,975.22/257,434.20
  6. Step 6: Final answer
    x = 319,229.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.