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Finding the Fourth Proportional to 318,410.79, 477,231.69 and 140,716.23

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Solution

The fourth proportional to 318,410.79, 477,231.69 and 140,716.23 is: 210,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,410.79 : 477,231.69 = 140,716.23 : x
  2. Step 2: Convert to fraction form
    318,410.79/477,231.69 = 140,716.23/x
  3. Step 3: Cross multiply
    318,410.79x = 477,231.69 × 140,716.23
  4. Step 4: Simplify right side
    318,410.79x = 67,154,244,253.33
  5. Step 5: Solve for x
    x = 67,154,244,253.33/318,410.79
  6. Step 6: Final answer
    x = 210,904.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.