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Finding the Fourth Proportional to 338,021.49, 506,303.31 and 318,147.81

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Solution

The fourth proportional to 338,021.49, 506,303.31 and 318,147.81 is: 476,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,021.49 : 506,303.31 = 318,147.81 : x
  2. Step 2: Convert to fraction form
    338,021.49/506,303.31 = 318,147.81/x
  3. Step 3: Cross multiply
    338,021.49x = 506,303.31 × 318,147.81
  4. Step 4: Simplify right side
    338,021.49x = 161,079,289,940.15
  5. Step 5: Solve for x
    x = 161,079,289,940.15/338,021.49
  6. Step 6: Final answer
    x = 476,535.65

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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.