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Finding the Fourth Proportional to 397,066.56, 595,658.88 and 130,777.92

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Solution

The fourth proportional to 397,066.56, 595,658.88 and 130,777.92 is: 196,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,066.56 : 595,658.88 = 130,777.92 : x
  2. Step 2: Convert to fraction form
    397,066.56/595,658.88 = 130,777.92/x
  3. Step 3: Cross multiply
    397,066.56x = 595,658.88 × 130,777.92
  4. Step 4: Simplify right side
    397,066.56x = 77,899,029,355.93
  5. Step 5: Solve for x
    x = 77,899,029,355.93/397,066.56
  6. Step 6: Final answer
    x = 196,186.33

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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.