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Finding the Fourth Proportional to 469,331.46, 647,439 and 296,958.96

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Solution

The fourth proportional to 469,331.46, 647,439 and 296,958.96 is: 409,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,331.46 : 647,439 = 296,958.96 : x
  2. Step 2: Convert to fraction form
    469,331.46/647,439 = 296,958.96/x
  3. Step 3: Cross multiply
    469,331.46x = 647,439 × 296,958.96
  4. Step 4: Simplify right side
    469,331.46x = 192,262,812,103.44
  5. Step 5: Solve for x
    x = 192,262,812,103.44/469,331.46
  6. Step 6: Final answer
    x = 409,652.51

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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.