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Finding the Fourth Proportional to 420,952.12, 630,419.46 and 306,793.96

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Solution

The fourth proportional to 420,952.12, 630,419.46 and 306,793.96 is: 459,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,952.12 : 630,419.46 = 306,793.96 : x
  2. Step 2: Convert to fraction form
    420,952.12/630,419.46 = 306,793.96/x
  3. Step 3: Cross multiply
    420,952.12x = 630,419.46 × 306,793.96
  4. Step 4: Simplify right side
    420,952.12x = 193,408,882,594.46
  5. Step 5: Solve for x
    x = 193,408,882,594.46/420,952.12
  6. Step 6: Final answer
    x = 459,455.78

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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.