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Finding the Fourth Proportional to 326,740.80, 490,123.68 and 102,121.92

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Solution

The fourth proportional to 326,740.80, 490,123.68 and 102,121.92 is: 153,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,740.80 : 490,123.68 = 102,121.92 : x
  2. Step 2: Convert to fraction form
    326,740.80/490,123.68 = 102,121.92/x
  3. Step 3: Cross multiply
    326,740.80x = 490,123.68 × 102,121.92
  4. Step 4: Simplify right side
    326,740.80x = 50,052,371,239.07
  5. Step 5: Solve for x
    x = 50,052,371,239.07/326,740.80
  6. Step 6: Final answer
    x = 153,186.78

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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.