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Finding the Fourth Proportional to 225,628.31, 338,354.98 and 120,389.87

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Solution

The fourth proportional to 225,628.31, 338,354.98 and 120,389.87 is: 180,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,628.31 : 338,354.98 = 120,389.87 : x
  2. Step 2: Convert to fraction form
    225,628.31/338,354.98 = 120,389.87/x
  3. Step 3: Cross multiply
    225,628.31x = 338,354.98 × 120,389.87
  4. Step 4: Simplify right side
    225,628.31x = 40,734,509,762.33
  5. Step 5: Solve for x
    x = 40,734,509,762.33/225,628.31
  6. Step 6: Final answer
    x = 180,538.12

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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.