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Finding the Fourth Proportional to 402,313.32, 603,469.89 and 102,794.46

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Solution

The fourth proportional to 402,313.32, 603,469.89 and 102,794.46 is: 154,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,313.32 : 603,469.89 = 102,794.46 : x
  2. Step 2: Convert to fraction form
    402,313.32/603,469.89 = 102,794.46/x
  3. Step 3: Cross multiply
    402,313.32x = 603,469.89 × 102,794.46
  4. Step 4: Simplify right side
    402,313.32x = 62,033,361,468.81
  5. Step 5: Solve for x
    x = 62,033,361,468.81/402,313.32
  6. Step 6: Final answer
    x = 154,191.67

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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.