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Finding the Fourth Proportional to 456,143.67, 684,327.09 and 321,470.50

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Solution

The fourth proportional to 456,143.67, 684,327.09 and 321,470.50 is: 482,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,143.67 : 684,327.09 = 321,470.50 : x
  2. Step 2: Convert to fraction form
    456,143.67/684,327.09 = 321,470.50/x
  3. Step 3: Cross multiply
    456,143.67x = 684,327.09 × 321,470.50
  4. Step 4: Simplify right side
    456,143.67x = 219,990,971,785.85
  5. Step 5: Solve for x
    x = 219,990,971,785.85/456,143.67
  6. Step 6: Final answer
    x = 482,284.39

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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.