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Finding the Fourth Proportional to 338,842.62, 508,419.09 and 146,775.78

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Solution

The fourth proportional to 338,842.62, 508,419.09 and 146,775.78 is: 220,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,842.62 : 508,419.09 = 146,775.78 : x
  2. Step 2: Convert to fraction form
    338,842.62/508,419.09 = 146,775.78/x
  3. Step 3: Cross multiply
    338,842.62x = 508,419.09 × 146,775.78
  4. Step 4: Simplify right side
    338,842.62x = 74,623,608,501.64
  5. Step 5: Solve for x
    x = 74,623,608,501.64/338,842.62
  6. Step 6: Final answer
    x = 220,230.88

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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.