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Finding the Fourth Proportional to 387,107.16, 580,660.50 and 120,890.48

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Solution

The fourth proportional to 387,107.16, 580,660.50 and 120,890.48 is: 181,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,107.16 : 580,660.50 = 120,890.48 : x
  2. Step 2: Convert to fraction form
    387,107.16/580,660.50 = 120,890.48/x
  3. Step 3: Cross multiply
    387,107.16x = 580,660.50 × 120,890.48
  4. Step 4: Simplify right side
    387,107.16x = 70,196,326,562.04
  5. Step 5: Solve for x
    x = 70,196,326,562.04/387,107.16
  6. Step 6: Final answer
    x = 181,335.65

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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.