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Finding the Fourth Proportional to 331,616.72, 497,496.16 and 106,990

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Solution

The fourth proportional to 331,616.72, 497,496.16 and 106,990 is: 160,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,616.72 : 497,496.16 = 106,990 : x
  2. Step 2: Convert to fraction form
    331,616.72/497,496.16 = 106,990/x
  3. Step 3: Cross multiply
    331,616.72x = 497,496.16 × 106,990
  4. Step 4: Simplify right side
    331,616.72x = 53,227,114,158.40
  5. Step 5: Solve for x
    x = 53,227,114,158.40/331,616.72
  6. Step 6: Final answer
    x = 160,507.93

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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.