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Finding the Fourth Proportional to 435,233.80, 652,850.70 and 285,934.60

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Solution

The fourth proportional to 435,233.80, 652,850.70 and 285,934.60 is: 428,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,233.80 : 652,850.70 = 285,934.60 : x
  2. Step 2: Convert to fraction form
    435,233.80/652,850.70 = 285,934.60/x
  3. Step 3: Cross multiply
    435,233.80x = 652,850.70 × 285,934.60
  4. Step 4: Simplify right side
    435,233.80x = 186,672,603,764.22
  5. Step 5: Solve for x
    x = 186,672,603,764.22/435,233.80
  6. Step 6: Final answer
    x = 428,901.90

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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.