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Finding the Fourth Proportional to 669,070, 1,003,408.17 and 195,642.82

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Solution

The fourth proportional to 669,070, 1,003,408.17 and 195,642.82 is: 293,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,070 : 1,003,408.17 = 195,642.82 : x
  2. Step 2: Convert to fraction form
    669,070/1,003,408.17 = 195,642.82/x
  3. Step 3: Cross multiply
    669,070x = 1,003,408.17 × 195,642.82
  4. Step 4: Simplify right side
    669,070x = 196,309,603,989.84
  5. Step 5: Solve for x
    x = 196,309,603,989.84/669,070
  6. Step 6: Final answer
    x = 293,406.67

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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.