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Finding the Fourth Proportional to 443,680, 612,064.32 and 290,651.44

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Solution

The fourth proportional to 443,680, 612,064.32 and 290,651.44 is: 400,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,680 : 612,064.32 = 290,651.44 : x
  2. Step 2: Convert to fraction form
    443,680/612,064.32 = 290,651.44/x
  3. Step 3: Cross multiply
    443,680x = 612,064.32 × 290,651.44
  4. Step 4: Simplify right side
    443,680x = 177,897,375,980.62
  5. Step 5: Solve for x
    x = 177,897,375,980.62/443,680
  6. Step 6: Final answer
    x = 400,958.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.