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Finding the Fourth Proportional to 515,839.20, 773,102.70 and 459,414.60

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Solution

The fourth proportional to 515,839.20, 773,102.70 and 459,414.60 is: 688,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,839.20 : 773,102.70 = 459,414.60 : x
  2. Step 2: Convert to fraction form
    515,839.20/773,102.70 = 459,414.60/x
  3. Step 3: Cross multiply
    515,839.20x = 773,102.70 × 459,414.60
  4. Step 4: Simplify right side
    515,839.20x = 355,174,667,679.42
  5. Step 5: Solve for x
    x = 355,174,667,679.42/515,839.20
  6. Step 6: Final answer
    x = 688,537.57

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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.