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Finding the Fourth Proportional to 410,641.21, 615,102.94 and 330,245.04

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Solution

The fourth proportional to 410,641.21, 615,102.94 and 330,245.04 is: 494,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,641.21 : 615,102.94 = 330,245.04 : x
  2. Step 2: Convert to fraction form
    410,641.21/615,102.94 = 330,245.04/x
  3. Step 3: Cross multiply
    410,641.21x = 615,102.94 × 330,245.04
  4. Step 4: Simplify right side
    410,641.21x = 203,134,695,024.42
  5. Step 5: Solve for x
    x = 203,134,695,024.42/410,641.21
  6. Step 6: Final answer
    x = 494,676.84

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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.