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Finding the Fourth Proportional to 310,410.86, 427,958.43 and 202,793.90

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Solution

The fourth proportional to 310,410.86, 427,958.43 and 202,793.90 is: 279,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,410.86 : 427,958.43 = 202,793.90 : x
  2. Step 2: Convert to fraction form
    310,410.86/427,958.43 = 202,793.90/x
  3. Step 3: Cross multiply
    310,410.86x = 427,958.43 × 202,793.90
  4. Step 4: Simplify right side
    310,410.86x = 86,787,359,057.58
  5. Step 5: Solve for x
    x = 86,787,359,057.58/310,410.86
  6. Step 6: Final answer
    x = 279,588.67

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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.