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Finding the Fourth Proportional to 297,724.80, 410,862.20 and 161,758.72

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Solution

The fourth proportional to 297,724.80, 410,862.20 and 161,758.72 is: 223,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,724.80 : 410,862.20 = 161,758.72 : x
  2. Step 2: Convert to fraction form
    297,724.80/410,862.20 = 161,758.72/x
  3. Step 3: Cross multiply
    297,724.80x = 410,862.20 × 161,758.72
  4. Step 4: Simplify right side
    297,724.80x = 66,460,543,568.38
  5. Step 5: Solve for x
    x = 66,460,543,568.38/297,724.80
  6. Step 6: Final answer
    x = 223,228.11

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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.