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Finding the Fourth Proportional to 338,905.81, 508,229.11 and 102,178.45

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Solution

The fourth proportional to 338,905.81, 508,229.11 and 102,178.45 is: 153,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,905.81 : 508,229.11 = 102,178.45 : x
  2. Step 2: Convert to fraction form
    338,905.81/508,229.11 = 102,178.45/x
  3. Step 3: Cross multiply
    338,905.81x = 508,229.11 × 102,178.45
  4. Step 4: Simplify right side
    338,905.81x = 51,930,062,704.68
  5. Step 5: Solve for x
    x = 51,930,062,704.68/338,905.81
  6. Step 6: Final answer
    x = 153,228.60

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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.