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Finding the Fourth Proportional to 646,162.53, 969,441.44 and 330,842.49

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Solution

The fourth proportional to 646,162.53, 969,441.44 and 330,842.49 is: 496,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,162.53 : 969,441.44 = 330,842.49 : x
  2. Step 2: Convert to fraction form
    646,162.53/969,441.44 = 330,842.49/x
  3. Step 3: Cross multiply
    646,162.53x = 969,441.44 × 330,842.49
  4. Step 4: Simplify right side
    646,162.53x = 320,732,418,264.57
  5. Step 5: Solve for x
    x = 320,732,418,264.57/646,162.53
  6. Step 6: Final answer
    x = 496,364.93

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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.