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Finding the Fourth Proportional to 469,408.40, 704,458.20 and 189,126.80

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Solution

The fourth proportional to 469,408.40, 704,458.20 and 189,126.80 is: 283,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,408.40 : 704,458.20 = 189,126.80 : x
  2. Step 2: Convert to fraction form
    469,408.40/704,458.20 = 189,126.80/x
  3. Step 3: Cross multiply
    469,408.40x = 704,458.20 × 189,126.80
  4. Step 4: Simplify right side
    469,408.40x = 133,231,925,099.76
  5. Step 5: Solve for x
    x = 133,231,925,099.76/469,408.40
  6. Step 6: Final answer
    x = 283,829.44

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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.