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Finding the Fourth Proportional to 326,682, 449,421.48 and 312,685.20

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Solution

The fourth proportional to 326,682, 449,421.48 and 312,685.20 is: 430,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,682 : 449,421.48 = 312,685.20 : x
  2. Step 2: Convert to fraction form
    326,682/449,421.48 = 312,685.20/x
  3. Step 3: Cross multiply
    326,682x = 449,421.48 × 312,685.20
  4. Step 4: Simplify right side
    326,682x = 140,527,445,358.10
  5. Step 5: Solve for x
    x = 140,527,445,358.10/326,682
  6. Step 6: Final answer
    x = 430,165.87

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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.