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Finding the Fourth Proportional to 318,260.67, 477,405.93 and 105,047.19

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Solution

The fourth proportional to 318,260.67, 477,405.93 and 105,047.19 is: 157,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,260.67 : 477,405.93 = 105,047.19 : x
  2. Step 2: Convert to fraction form
    318,260.67/477,405.93 = 105,047.19/x
  3. Step 3: Cross multiply
    318,260.67x = 477,405.93 × 105,047.19
  4. Step 4: Simplify right side
    318,260.67x = 50,150,151,614.78
  5. Step 5: Solve for x
    x = 50,150,151,614.78/318,260.67
  6. Step 6: Final answer
    x = 157,575.71

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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.