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Finding the Fourth Proportional to 512,069.60, 706,655.61 and 285,715.10

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Solution

The fourth proportional to 512,069.60, 706,655.61 and 285,715.10 is: 394,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,069.60 : 706,655.61 = 285,715.10 : x
  2. Step 2: Convert to fraction form
    512,069.60/706,655.61 = 285,715.10/x
  3. Step 3: Cross multiply
    512,069.60x = 706,655.61 × 285,715.10
  4. Step 4: Simplify right side
    512,069.60x = 201,902,180,043.35
  5. Step 5: Solve for x
    x = 201,902,180,043.35/512,069.60
  6. Step 6: Final answer
    x = 394,286.60

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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.