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Finding the Fourth Proportional to 351,458.80, 526,471.40 and 217,929.20

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Solution

The fourth proportional to 351,458.80, 526,471.40 and 217,929.20 is: 326,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,458.80 : 526,471.40 = 217,929.20 : x
  2. Step 2: Convert to fraction form
    351,458.80/526,471.40 = 217,929.20/x
  3. Step 3: Cross multiply
    351,458.80x = 526,471.40 × 217,929.20
  4. Step 4: Simplify right side
    351,458.80x = 114,733,491,024.88
  5. Step 5: Solve for x
    x = 114,733,491,024.88/351,458.80
  6. Step 6: Final answer
    x = 326,449.33

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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.