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Finding the Fourth Proportional to 443,504.80, 665,257.20 and 206,871.40

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Solution

The fourth proportional to 443,504.80, 665,257.20 and 206,871.40 is: 310,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,504.80 : 665,257.20 = 206,871.40 : x
  2. Step 2: Convert to fraction form
    443,504.80/665,257.20 = 206,871.40/x
  3. Step 3: Cross multiply
    443,504.80x = 665,257.20 × 206,871.40
  4. Step 4: Simplify right side
    443,504.80x = 137,622,688,324.08
  5. Step 5: Solve for x
    x = 137,622,688,324.08/443,504.80
  6. Step 6: Final answer
    x = 310,307.10

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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.