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Finding the Fourth Proportional to 318,321.88, 476,842.10 and 147,302.54

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Solution

The fourth proportional to 318,321.88, 476,842.10 and 147,302.54 is: 220,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,321.88 : 476,842.10 = 147,302.54 : x
  2. Step 2: Convert to fraction form
    318,321.88/476,842.10 = 147,302.54/x
  3. Step 3: Cross multiply
    318,321.88x = 476,842.10 × 147,302.54
  4. Step 4: Simplify right side
    318,321.88x = 70,240,052,508.93
  5. Step 5: Solve for x
    x = 70,240,052,508.93/318,321.88
  6. Step 6: Final answer
    x = 220,657.32

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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.