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Finding the Fourth Proportional to 390,469.68, 585,704.52 and 109,986.48

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Solution

The fourth proportional to 390,469.68, 585,704.52 and 109,986.48 is: 164,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,469.68 : 585,704.52 = 109,986.48 : x
  2. Step 2: Convert to fraction form
    390,469.68/585,704.52 = 109,986.48/x
  3. Step 3: Cross multiply
    390,469.68x = 585,704.52 × 109,986.48
  4. Step 4: Simplify right side
    390,469.68x = 64,419,578,474.89
  5. Step 5: Solve for x
    x = 64,419,578,474.89/390,469.68
  6. Step 6: Final answer
    x = 164,979.72

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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.