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Finding the Fourth Proportional to 415,711.80, 623,682.90 and 275,743.80

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Solution

The fourth proportional to 415,711.80, 623,682.90 and 275,743.80 is: 413,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,711.80 : 623,682.90 = 275,743.80 : x
  2. Step 2: Convert to fraction form
    415,711.80/623,682.90 = 275,743.80/x
  3. Step 3: Cross multiply
    415,711.80x = 623,682.90 × 275,743.80
  4. Step 4: Simplify right side
    415,711.80x = 171,976,692,841.02
  5. Step 5: Solve for x
    x = 171,976,692,841.02/415,711.80
  6. Step 6: Final answer
    x = 413,692.11

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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.