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Finding the Fourth Proportional to 318,287.56, 477,329.28 and 105,007.68

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Solution

The fourth proportional to 318,287.56, 477,329.28 and 105,007.68 is: 157,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,287.56 : 477,329.28 = 105,007.68 : x
  2. Step 2: Convert to fraction form
    318,287.56/477,329.28 = 105,007.68/x
  3. Step 3: Cross multiply
    318,287.56x = 477,329.28 × 105,007.68
  4. Step 4: Simplify right side
    318,287.56x = 50,123,240,288.87
  5. Step 5: Solve for x
    x = 50,123,240,288.87/318,287.56
  6. Step 6: Final answer
    x = 157,477.85

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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.