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Finding the Fourth Proportional to 288,568.31, 432,619.38 and 120,215.48

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Solution

The fourth proportional to 288,568.31, 432,619.38 and 120,215.48 is: 180,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,568.31 : 432,619.38 = 120,215.48 : x
  2. Step 2: Convert to fraction form
    288,568.31/432,619.38 = 120,215.48/x
  3. Step 3: Cross multiply
    288,568.31x = 432,619.38 × 120,215.48
  4. Step 4: Simplify right side
    288,568.31x = 52,007,544,260.91
  5. Step 5: Solve for x
    x = 52,007,544,260.91/288,568.31
  6. Step 6: Final answer
    x = 180,226.11

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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.