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Finding the Fourth Proportional to 321,617.60, 443,826.24 and 176,424

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Solution

The fourth proportional to 321,617.60, 443,826.24 and 176,424 is: 243,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,617.60 : 443,826.24 = 176,424 : x
  2. Step 2: Convert to fraction form
    321,617.60/443,826.24 = 176,424/x
  3. Step 3: Cross multiply
    321,617.60x = 443,826.24 × 176,424
  4. Step 4: Simplify right side
    321,617.60x = 78,301,600,565.76
  5. Step 5: Solve for x
    x = 78,301,600,565.76/321,617.60
  6. Step 6: Final answer
    x = 243,461.80

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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.