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Finding the Fourth Proportional to 420,399.96, 580,164.24 and 229,425.60

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Solution

The fourth proportional to 420,399.96, 580,164.24 and 229,425.60 is: 316,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,399.96 : 580,164.24 = 229,425.60 : x
  2. Step 2: Convert to fraction form
    420,399.96/580,164.24 = 229,425.60/x
  3. Step 3: Cross multiply
    420,399.96x = 580,164.24 × 229,425.60
  4. Step 4: Simplify right side
    420,399.96x = 133,104,528,860.54
  5. Step 5: Solve for x
    x = 133,104,528,860.54/420,399.96
  6. Step 6: Final answer
    x = 316,614.04

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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.