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Finding the Fourth Proportional to 508,998.97, 763,328.90 and 205,314.69

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Solution

The fourth proportional to 508,998.97, 763,328.90 and 205,314.69 is: 307,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,998.97 : 763,328.90 = 205,314.69 : x
  2. Step 2: Convert to fraction form
    508,998.97/763,328.90 = 205,314.69/x
  3. Step 3: Cross multiply
    508,998.97x = 763,328.90 × 205,314.69
  4. Step 4: Simplify right side
    508,998.97x = 156,722,636,471.54
  5. Step 5: Solve for x
    x = 156,722,636,471.54/508,998.97
  6. Step 6: Final answer
    x = 307,903.64

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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.