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Finding the Fourth Proportional to 407,722.32, 610,652.34 and 194,640.12

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Solution

The fourth proportional to 407,722.32, 610,652.34 and 194,640.12 is: 291,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,722.32 : 610,652.34 = 194,640.12 : x
  2. Step 2: Convert to fraction form
    407,722.32/610,652.34 = 194,640.12/x
  3. Step 3: Cross multiply
    407,722.32x = 610,652.34 × 194,640.12
  4. Step 4: Simplify right side
    407,722.32x = 118,857,444,735.88
  5. Step 5: Solve for x
    x = 118,857,444,735.88/407,722.32
  6. Step 6: Final answer
    x = 291,515.67

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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.