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Finding the Fourth Proportional to 321,584.93, 485,295.62 and 310,865.18

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Solution

The fourth proportional to 321,584.93, 485,295.62 and 310,865.18 is: 469,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,584.93 : 485,295.62 = 310,865.18 : x
  2. Step 2: Convert to fraction form
    321,584.93/485,295.62 = 310,865.18/x
  3. Step 3: Cross multiply
    321,584.93x = 485,295.62 × 310,865.18
  4. Step 4: Simplify right side
    321,584.93x = 150,861,512,254.91
  5. Step 5: Solve for x
    x = 150,861,512,254.91/321,584.93
  6. Step 6: Final answer
    x = 469,118.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.