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Finding the Fourth Proportional to 686,380.65, 946,884.92 and 431,872.17

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Solution

The fourth proportional to 686,380.65, 946,884.92 and 431,872.17 is: 595,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,380.65 : 946,884.92 = 431,872.17 : x
  2. Step 2: Convert to fraction form
    686,380.65/946,884.92 = 431,872.17/x
  3. Step 3: Cross multiply
    686,380.65x = 946,884.92 × 431,872.17
  4. Step 4: Simplify right side
    686,380.65x = 408,933,239,430.50
  5. Step 5: Solve for x
    x = 408,933,239,430.50/686,380.65
  6. Step 6: Final answer
    x = 595,782.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.