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Finding the Fourth Proportional to 457,338.42, 686,241.63 and 217,723.14

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Solution

The fourth proportional to 457,338.42, 686,241.63 and 217,723.14 is: 326,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,338.42 : 686,241.63 = 217,723.14 : x
  2. Step 2: Convert to fraction form
    457,338.42/686,241.63 = 217,723.14/x
  3. Step 3: Cross multiply
    457,338.42x = 686,241.63 × 217,723.14
  4. Step 4: Simplify right side
    457,338.42x = 149,410,682,482.32
  5. Step 5: Solve for x
    x = 149,410,682,482.32/457,338.42
  6. Step 6: Final answer
    x = 326,696.11

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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.