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Finding the Fourth Proportional to 494,353.34, 682,213 and 290,412.86

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Solution

The fourth proportional to 494,353.34, 682,213 and 290,412.86 is: 400,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,353.34 : 682,213 = 290,412.86 : x
  2. Step 2: Convert to fraction form
    494,353.34/682,213 = 290,412.86/x
  3. Step 3: Cross multiply
    494,353.34x = 682,213 × 290,412.86
  4. Step 4: Simplify right side
    494,353.34x = 198,123,428,459.18
  5. Step 5: Solve for x
    x = 198,123,428,459.18/494,353.34
  6. Step 6: Final answer
    x = 400,772.91

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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.