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Finding the Fourth Proportional to 647,121.96, 970,732.08 and 220,525.20

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Solution

The fourth proportional to 647,121.96, 970,732.08 and 220,525.20 is: 330,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,121.96 : 970,732.08 = 220,525.20 : x
  2. Step 2: Convert to fraction form
    647,121.96/970,732.08 = 220,525.20/x
  3. Step 3: Cross multiply
    647,121.96x = 970,732.08 × 220,525.20
  4. Step 4: Simplify right side
    647,121.96x = 214,070,886,088.42
  5. Step 5: Solve for x
    x = 214,070,886,088.42/647,121.96
  6. Step 6: Final answer
    x = 330,804.55

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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.