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Finding the Fourth Proportional to 338,382, 507,489.84 and 148,889.97

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Solution

The fourth proportional to 338,382, 507,489.84 and 148,889.97 is: 223,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,382 : 507,489.84 = 148,889.97 : x
  2. Step 2: Convert to fraction form
    338,382/507,489.84 = 148,889.97/x
  3. Step 3: Cross multiply
    338,382x = 507,489.84 × 148,889.97
  4. Step 4: Simplify right side
    338,382x = 75,560,147,052.90
  5. Step 5: Solve for x
    x = 75,560,147,052.90/338,382
  6. Step 6: Final answer
    x = 223,298.36

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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.