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Finding the Fourth Proportional to 397,718.40, 596,174.40 and 197,731.20

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Solution

The fourth proportional to 397,718.40, 596,174.40 and 197,731.20 is: 296,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,718.40 : 596,174.40 = 197,731.20 : x
  2. Step 2: Convert to fraction form
    397,718.40/596,174.40 = 197,731.20/x
  3. Step 3: Cross multiply
    397,718.40x = 596,174.40 × 197,731.20
  4. Step 4: Simplify right side
    397,718.40x = 117,882,279,521.28
  5. Step 5: Solve for x
    x = 117,882,279,521.28/397,718.40
  6. Step 6: Final answer
    x = 296,396.34

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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.