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Finding the Fourth Proportional to 338,986.40, 508,463.40 and 114,324.80

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Solution

The fourth proportional to 338,986.40, 508,463.40 and 114,324.80 is: 171,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,986.40 : 508,463.40 = 114,324.80 : x
  2. Step 2: Convert to fraction form
    338,986.40/508,463.40 = 114,324.80/x
  3. Step 3: Cross multiply
    338,986.40x = 508,463.40 × 114,324.80
  4. Step 4: Simplify right side
    338,986.40x = 58,129,976,512.32
  5. Step 5: Solve for x
    x = 58,129,976,512.32/338,986.40
  6. Step 6: Final answer
    x = 171,481.74

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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.