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Finding the Fourth Proportional to 402,069.56, 603,104.40 and 106,581.56

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Solution

The fourth proportional to 402,069.56, 603,104.40 and 106,581.56 is: 159,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,069.56 : 603,104.40 = 106,581.56 : x
  2. Step 2: Convert to fraction form
    402,069.56/603,104.40 = 106,581.56/x
  3. Step 3: Cross multiply
    402,069.56x = 603,104.40 × 106,581.56
  4. Step 4: Simplify right side
    402,069.56x = 64,279,807,794.86
  5. Step 5: Solve for x
    x = 64,279,807,794.86/402,069.56
  6. Step 6: Final answer
    x = 159,872.36

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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.