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Finding the Fourth Proportional to 351,684.78, 526,020 and 326,158.44

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Solution

The fourth proportional to 351,684.78, 526,020 and 326,158.44 is: 487,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,684.78 : 526,020 = 326,158.44 : x
  2. Step 2: Convert to fraction form
    351,684.78/526,020 = 326,158.44/x
  3. Step 3: Cross multiply
    351,684.78x = 526,020 × 326,158.44
  4. Step 4: Simplify right side
    351,684.78x = 171,565,862,608.80
  5. Step 5: Solve for x
    x = 171,565,862,608.80/351,684.78
  6. Step 6: Final answer
    x = 487,839.88

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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.