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Finding the Fourth Proportional to 477,245.57, 715,868.55 and 140,286.24

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Solution

The fourth proportional to 477,245.57, 715,868.55 and 140,286.24 is: 210,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,245.57 : 715,868.55 = 140,286.24 : x
  2. Step 2: Convert to fraction form
    477,245.57/715,868.55 = 140,286.24/x
  3. Step 3: Cross multiply
    477,245.57x = 715,868.55 × 140,286.24
  4. Step 4: Simplify right side
    477,245.57x = 100,426,507,213.75
  5. Step 5: Solve for x
    x = 100,426,507,213.75/477,245.57
  6. Step 6: Final answer
    x = 210,429.42

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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.