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Finding the Fourth Proportional to 257,062.46, 384,923 and 206,868.38

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Solution

The fourth proportional to 257,062.46, 384,923 and 206,868.38 is: 309,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,062.46 : 384,923 = 206,868.38 : x
  2. Step 2: Convert to fraction form
    257,062.46/384,923 = 206,868.38/x
  3. Step 3: Cross multiply
    257,062.46x = 384,923 × 206,868.38
  4. Step 4: Simplify right side
    257,062.46x = 79,628,397,434.74
  5. Step 5: Solve for x
    x = 79,628,397,434.74/257,062.46
  6. Step 6: Final answer
    x = 309,762.84

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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.