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Finding the Fourth Proportional to 443,514.80, 665,272.20 and 206,881.40

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Solution

The fourth proportional to 443,514.80, 665,272.20 and 206,881.40 is: 310,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,514.80 : 665,272.20 = 206,881.40 : x
  2. Step 2: Convert to fraction form
    443,514.80/665,272.20 = 206,881.40/x
  3. Step 3: Cross multiply
    443,514.80x = 665,272.20 × 206,881.40
  4. Step 4: Simplify right side
    443,514.80x = 137,632,444,117.08
  5. Step 5: Solve for x
    x = 137,632,444,117.08/443,514.80
  6. Step 6: Final answer
    x = 310,322.10

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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.