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Finding the Fourth Proportional to 709,209.72, 978,704.76 and 403,286.12

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Solution

The fourth proportional to 709,209.72, 978,704.76 and 403,286.12 is: 556,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,209.72 : 978,704.76 = 403,286.12 : x
  2. Step 2: Convert to fraction form
    709,209.72/978,704.76 = 403,286.12/x
  3. Step 3: Cross multiply
    709,209.72x = 978,704.76 × 403,286.12
  4. Step 4: Simplify right side
    709,209.72x = 394,698,043,306.39
  5. Step 5: Solve for x
    x = 394,698,043,306.39/709,209.72
  6. Step 6: Final answer
    x = 556,532.20

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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.