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Finding the Fourth Proportional to 321,256.96, 442,620.90 and 212,167.56

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Solution

The fourth proportional to 321,256.96, 442,620.90 and 212,167.56 is: 292,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,256.96 : 442,620.90 = 212,167.56 : x
  2. Step 2: Convert to fraction form
    321,256.96/442,620.90 = 212,167.56/x
  3. Step 3: Cross multiply
    321,256.96x = 442,620.90 × 212,167.56
  4. Step 4: Simplify right side
    321,256.96x = 93,909,796,358.00
  5. Step 5: Solve for x
    x = 93,909,796,358.00/321,256.96
  6. Step 6: Final answer
    x = 292,319.88

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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.