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Finding the Fourth Proportional to 417,692.78, 626,438.80 and 192,837.24

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Solution

The fourth proportional to 417,692.78, 626,438.80 and 192,837.24 is: 289,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.78 : 626,438.80 = 192,837.24 : x
  2. Step 2: Convert to fraction form
    417,692.78/626,438.80 = 192,837.24/x
  3. Step 3: Cross multiply
    417,692.78x = 626,438.80 × 192,837.24
  4. Step 4: Simplify right side
    417,692.78x = 120,800,729,220.91
  5. Step 5: Solve for x
    x = 120,800,729,220.91/417,692.78
  6. Step 6: Final answer
    x = 289,209.52

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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.