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Finding the Fourth Proportional to 647,027.10, 969,811.65 and 310,229.10

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Solution

The fourth proportional to 647,027.10, 969,811.65 and 310,229.10 is: 464,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,027.10 : 969,811.65 = 310,229.10 : x
  2. Step 2: Convert to fraction form
    647,027.10/969,811.65 = 310,229.10/x
  3. Step 3: Cross multiply
    647,027.10x = 969,811.65 × 310,229.10
  4. Step 4: Simplify right side
    647,027.10x = 300,863,795,349.02
  5. Step 5: Solve for x
    x = 300,863,795,349.02/647,027.10
  6. Step 6: Final answer
    x = 464,994.12

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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.