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Finding the Fourth Proportional to 338,655.20, 508,198.80 and 161,362.40

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Solution

The fourth proportional to 338,655.20, 508,198.80 and 161,362.40 is: 242,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,655.20 : 508,198.80 = 161,362.40 : x
  2. Step 2: Convert to fraction form
    338,655.20/508,198.80 = 161,362.40/x
  3. Step 3: Cross multiply
    338,655.20x = 508,198.80 × 161,362.40
  4. Step 4: Simplify right side
    338,655.20x = 82,004,178,045.12
  5. Step 5: Solve for x
    x = 82,004,178,045.12/338,655.20
  6. Step 6: Final answer
    x = 242,146.52

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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.