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Finding the Fourth Proportional to 338,034.81, 506,323.29 and 318,161.19

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Solution

The fourth proportional to 338,034.81, 506,323.29 and 318,161.19 is: 476,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,034.81 : 506,323.29 = 318,161.19 : x
  2. Step 2: Convert to fraction form
    338,034.81/506,323.29 = 318,161.19/x
  3. Step 3: Cross multiply
    338,034.81x = 506,323.29 × 318,161.19
  4. Step 4: Simplify right side
    338,034.81x = 161,092,420,471.12
  5. Step 5: Solve for x
    x = 161,092,420,471.12/338,034.81
  6. Step 6: Final answer
    x = 476,555.71

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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.