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Finding the Fourth Proportional to 298,715.11, 412,224.56 and 162,748.64

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Solution

The fourth proportional to 298,715.11, 412,224.56 and 162,748.64 is: 224,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,715.11 : 412,224.56 = 162,748.64 : x
  2. Step 2: Convert to fraction form
    298,715.11/412,224.56 = 162,748.64/x
  3. Step 3: Cross multiply
    298,715.11x = 412,224.56 × 162,748.64
  4. Step 4: Simplify right side
    298,715.11x = 67,088,984,860.35
  5. Step 5: Solve for x
    x = 67,088,984,860.35/298,715.11
  6. Step 6: Final answer
    x = 224,591.87

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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.