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Finding the Fourth Proportional to 443,308.16, 665,376.96 and 218,922

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Solution

The fourth proportional to 443,308.16, 665,376.96 and 218,922 is: 328,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,308.16 : 665,376.96 = 218,922 : x
  2. Step 2: Convert to fraction form
    443,308.16/665,376.96 = 218,922/x
  3. Step 3: Cross multiply
    443,308.16x = 665,376.96 × 218,922
  4. Step 4: Simplify right side
    443,308.16x = 145,665,654,837.12
  5. Step 5: Solve for x
    x = 145,665,654,837.12/443,308.16
  6. Step 6: Final answer
    x = 328,587.80

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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.