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Finding the Fourth Proportional to 512,681.70, 769,022.55 and 512,681.70

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Solution

The fourth proportional to 512,681.70, 769,022.55 and 512,681.70 is: 769,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,681.70 : 769,022.55 = 512,681.70 : x
  2. Step 2: Convert to fraction form
    512,681.70/769,022.55 = 512,681.70/x
  3. Step 3: Cross multiply
    512,681.70x = 769,022.55 × 512,681.70
  4. Step 4: Simplify right side
    512,681.70x = 394,263,788,272.34
  5. Step 5: Solve for x
    x = 394,263,788,272.34/512,681.70
  6. Step 6: Final answer
    x = 769,022.55

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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.