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Finding the Fourth Proportional to 397,071.72, 595,695.42 and 130,821.48

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Solution

The fourth proportional to 397,071.72, 595,695.42 and 130,821.48 is: 196,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,071.72 : 595,695.42 = 130,821.48 : x
  2. Step 2: Convert to fraction form
    397,071.72/595,695.42 = 130,821.48/x
  3. Step 3: Cross multiply
    397,071.72x = 595,695.42 × 130,821.48
  4. Step 4: Simplify right side
    397,071.72x = 77,929,756,473.62
  5. Step 5: Solve for x
    x = 77,929,756,473.62/397,071.72
  6. Step 6: Final answer
    x = 196,261.16

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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.