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Finding the Fourth Proportional to 326,716.76, 490,143.18 and 102,068.12

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Solution

The fourth proportional to 326,716.76, 490,143.18 and 102,068.12 is: 153,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,716.76 : 490,143.18 = 102,068.12 : x
  2. Step 2: Convert to fraction form
    326,716.76/490,143.18 = 102,068.12/x
  3. Step 3: Cross multiply
    326,716.76x = 490,143.18 × 102,068.12
  4. Step 4: Simplify right side
    326,716.76x = 50,027,990,462.71
  5. Step 5: Solve for x
    x = 50,027,990,462.71/326,716.76
  6. Step 6: Final answer
    x = 153,123.43

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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.