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Finding the Fourth Proportional to 378,286.32, 522,071.92 and 282,626.94

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Solution

The fourth proportional to 378,286.32, 522,071.92 and 282,626.94 is: 390,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,286.32 : 522,071.92 = 282,626.94 : x
  2. Step 2: Convert to fraction form
    378,286.32/522,071.92 = 282,626.94/x
  3. Step 3: Cross multiply
    378,286.32x = 522,071.92 × 282,626.94
  4. Step 4: Simplify right side
    378,286.32x = 147,551,589,209.53
  5. Step 5: Solve for x
    x = 147,551,589,209.53/378,286.32
  6. Step 6: Final answer
    x = 390,052.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.