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Finding the Fourth Proportional to 409,692.48, 565,378.24 and 228,416

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Solution

The fourth proportional to 409,692.48, 565,378.24 and 228,416 is: 315,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,692.48 : 565,378.24 = 228,416 : x
  2. Step 2: Convert to fraction form
    409,692.48/565,378.24 = 228,416/x
  3. Step 3: Cross multiply
    409,692.48x = 565,378.24 × 228,416
  4. Step 4: Simplify right side
    409,692.48x = 129,141,436,067.84
  5. Step 5: Solve for x
    x = 129,141,436,067.84/409,692.48
  6. Step 6: Final answer
    x = 315,215.54

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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.