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Finding the Fourth Proportional to 456,071.81, 684,219.20 and 321,398.57

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Solution

The fourth proportional to 456,071.81, 684,219.20 and 321,398.57 is: 482,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,071.81 : 684,219.20 = 321,398.57 : x
  2. Step 2: Convert to fraction form
    456,071.81/684,219.20 = 321,398.57/x
  3. Step 3: Cross multiply
    456,071.81x = 684,219.20 × 321,398.57
  4. Step 4: Simplify right side
    456,071.81x = 219,907,067,418.46
  5. Step 5: Solve for x
    x = 219,907,067,418.46/456,071.81
  6. Step 6: Final answer
    x = 482,176.41

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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.