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Finding the Fourth Proportional to 393,667.75, 543,350.10 and 257,622.87

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Solution

The fourth proportional to 393,667.75, 543,350.10 and 257,622.87 is: 355,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,667.75 : 543,350.10 = 257,622.87 : x
  2. Step 2: Convert to fraction form
    393,667.75/543,350.10 = 257,622.87/x
  3. Step 3: Cross multiply
    393,667.75x = 543,350.10 × 257,622.87
  4. Step 4: Simplify right side
    393,667.75x = 139,979,412,176.79
  5. Step 5: Solve for x
    x = 139,979,412,176.79/393,667.75
  6. Step 6: Final answer
    x = 355,577.55

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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.