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Finding the Fourth Proportional to 413,770.63, 620,639.09 and 143,960.55

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Solution

The fourth proportional to 413,770.63, 620,639.09 and 143,960.55 is: 215,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,770.63 : 620,639.09 = 143,960.55 : x
  2. Step 2: Convert to fraction form
    413,770.63/620,639.09 = 143,960.55/x
  3. Step 3: Cross multiply
    413,770.63x = 620,639.09 × 143,960.55
  4. Step 4: Simplify right side
    413,770.63x = 89,347,544,747.90
  5. Step 5: Solve for x
    x = 89,347,544,747.90/413,770.63
  6. Step 6: Final answer
    x = 215,934.96

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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.