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Finding the Fourth Proportional to 431,813.86, 648,282.08 and 332,044.12

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Solution

The fourth proportional to 431,813.86, 648,282.08 and 332,044.12 is: 498,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,813.86 : 648,282.08 = 332,044.12 : x
  2. Step 2: Convert to fraction form
    431,813.86/648,282.08 = 332,044.12/x
  3. Step 3: Cross multiply
    431,813.86x = 648,282.08 × 332,044.12
  4. Step 4: Simplify right side
    431,813.86x = 215,258,252,765.37
  5. Step 5: Solve for x
    x = 215,258,252,765.37/431,813.86
  6. Step 6: Final answer
    x = 498,497.79

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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.