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Finding the Fourth Proportional to 694,144, 1,041,221.40 and 454,459.60

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Solution

The fourth proportional to 694,144, 1,041,221.40 and 454,459.60 is: 681,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,144 : 1,041,221.40 = 454,459.60 : x
  2. Step 2: Convert to fraction form
    694,144/1,041,221.40 = 454,459.60/x
  3. Step 3: Cross multiply
    694,144x = 1,041,221.40 × 454,459.60
  4. Step 4: Simplify right side
    694,144x = 473,193,060,955.44
  5. Step 5: Solve for x
    x = 473,193,060,955.44/694,144
  6. Step 6: Final answer
    x = 681,692.94

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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.