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Finding the Fourth Proportional to 321,778.71, 482,730.98 and 97,157.43

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Solution

The fourth proportional to 321,778.71, 482,730.98 and 97,157.43 is: 145,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,778.71 : 482,730.98 = 97,157.43 : x
  2. Step 2: Convert to fraction form
    321,778.71/482,730.98 = 97,157.43/x
  3. Step 3: Cross multiply
    321,778.71x = 482,730.98 × 97,157.43
  4. Step 4: Simplify right side
    321,778.71x = 46,900,900,912.39
  5. Step 5: Solve for x
    x = 46,900,900,912.39/321,778.71
  6. Step 6: Final answer
    x = 145,755.14

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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.