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Finding the Fourth Proportional to 646,414.85, 969,622.27 and 330,699.53

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Solution

The fourth proportional to 646,414.85, 969,622.27 and 330,699.53 is: 496,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,414.85 : 969,622.27 = 330,699.53 : x
  2. Step 2: Convert to fraction form
    646,414.85/969,622.27 = 330,699.53/x
  3. Step 3: Cross multiply
    646,414.85x = 969,622.27 × 330,699.53
  4. Step 4: Simplify right side
    646,414.85x = 320,653,623,291.67
  5. Step 5: Solve for x
    x = 320,653,623,291.67/646,414.85
  6. Step 6: Final answer
    x = 496,049.29

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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.