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Finding the Fourth Proportional to 397,878, 597,065.76 and 161,221.92

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Solution

The fourth proportional to 397,878, 597,065.76 and 161,221.92 is: 241,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,878 : 597,065.76 = 161,221.92 : x
  2. Step 2: Convert to fraction form
    397,878/597,065.76 = 161,221.92/x
  3. Step 3: Cross multiply
    397,878x = 597,065.76 × 161,221.92
  4. Step 4: Simplify right side
    397,878x = 96,260,088,193.46
  5. Step 5: Solve for x
    x = 96,260,088,193.46/397,878
  6. Step 6: Final answer
    x = 241,933.68

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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.