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Finding the Fourth Proportional to 659,647.80, 988,198.38 and 393,621.12

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Solution

The fourth proportional to 659,647.80, 988,198.38 and 393,621.12 is: 589,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,647.80 : 988,198.38 = 393,621.12 : x
  2. Step 2: Convert to fraction form
    659,647.80/988,198.38 = 393,621.12/x
  3. Step 3: Cross multiply
    659,647.80x = 988,198.38 × 393,621.12
  4. Step 4: Simplify right side
    659,647.80x = 388,975,753,117.79
  5. Step 5: Solve for x
    x = 388,975,753,117.79/659,647.80
  6. Step 6: Final answer
    x = 589,671.87

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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.