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Finding the Fourth Proportional to 397,998.40, 596,479.20 and 161,147.20

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Solution

The fourth proportional to 397,998.40, 596,479.20 and 161,147.20 is: 241,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,998.40 : 596,479.20 = 161,147.20 : x
  2. Step 2: Convert to fraction form
    397,998.40/596,479.20 = 161,147.20/x
  3. Step 3: Cross multiply
    397,998.40x = 596,479.20 × 161,147.20
  4. Step 4: Simplify right side
    397,998.40x = 96,120,952,938.24
  5. Step 5: Solve for x
    x = 96,120,952,938.24/397,998.40
  6. Step 6: Final answer
    x = 241,510.90

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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.