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Finding the Fourth Proportional to 508,664.25, 701,989.47 and 282,309.75

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Solution

The fourth proportional to 508,664.25, 701,989.47 and 282,309.75 is: 389,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,664.25 : 701,989.47 = 282,309.75 : x
  2. Step 2: Convert to fraction form
    508,664.25/701,989.47 = 282,309.75/x
  3. Step 3: Cross multiply
    508,664.25x = 701,989.47 × 282,309.75
  4. Step 4: Simplify right side
    508,664.25x = 198,178,471,778.33
  5. Step 5: Solve for x
    x = 198,178,471,778.33/508,664.25
  6. Step 6: Final answer
    x = 389,605.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.