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Finding the Fourth Proportional to 410,345.75, 566,286.71 and 257,390.42

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Solution

The fourth proportional to 410,345.75, 566,286.71 and 257,390.42 is: 355,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,345.75 : 566,286.71 = 257,390.42 : x
  2. Step 2: Convert to fraction form
    410,345.75/566,286.71 = 257,390.42/x
  3. Step 3: Cross multiply
    410,345.75x = 566,286.71 × 257,390.42
  4. Step 4: Simplify right side
    410,345.75x = 145,756,770,008.93
  5. Step 5: Solve for x
    x = 145,756,770,008.93/410,345.75
  6. Step 6: Final answer
    x = 355,204.78

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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.