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Finding the Fourth Proportional to 338,615.20, 508,138.80 and 161,322.40

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Solution

The fourth proportional to 338,615.20, 508,138.80 and 161,322.40 is: 242,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,615.20 : 508,138.80 = 161,322.40 : x
  2. Step 2: Convert to fraction form
    338,615.20/508,138.80 = 161,322.40/x
  3. Step 3: Cross multiply
    338,615.20x = 508,138.80 × 161,322.40
  4. Step 4: Simplify right side
    338,615.20x = 81,974,170,749.12
  5. Step 5: Solve for x
    x = 81,974,170,749.12/338,615.20
  6. Step 6: Final answer
    x = 242,086.51

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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.