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Finding the Fourth Proportional to 318,300.49, 477,349.46 and 105,028.65

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Solution

The fourth proportional to 318,300.49, 477,349.46 and 105,028.65 is: 157,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,300.49 : 477,349.46 = 105,028.65 : x
  2. Step 2: Convert to fraction form
    318,300.49/477,349.46 = 105,028.65/x
  3. Step 3: Cross multiply
    318,300.49x = 477,349.46 × 105,028.65
  4. Step 4: Simplify right side
    318,300.49x = 50,135,370,380.77
  5. Step 5: Solve for x
    x = 50,135,370,380.77/318,300.49
  6. Step 6: Final answer
    x = 157,509.56

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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.