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Finding the Fourth Proportional to 647,816.72, 969,732 and 422,692.40

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Solution

The fourth proportional to 647,816.72, 969,732 and 422,692.40 is: 632,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,816.72 : 969,732 = 422,692.40 : x
  2. Step 2: Convert to fraction form
    647,816.72/969,732 = 422,692.40/x
  3. Step 3: Cross multiply
    647,816.72x = 969,732 × 422,692.40
  4. Step 4: Simplify right side
    647,816.72x = 409,898,346,436.80
  5. Step 5: Solve for x
    x = 409,898,346,436.80/647,816.72
  6. Step 6: Final answer
    x = 632,738.14

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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.