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Finding the Fourth Proportional to 508,524.78, 701,761.95 and 282,169.74

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Solution

The fourth proportional to 508,524.78, 701,761.95 and 282,169.74 is: 389,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,524.78 : 701,761.95 = 282,169.74 : x
  2. Step 2: Convert to fraction form
    508,524.78/701,761.95 = 282,169.74/x
  3. Step 3: Cross multiply
    508,524.78x = 701,761.95 × 282,169.74
  4. Step 4: Simplify right side
    508,524.78x = 198,015,986,973.39
  5. Step 5: Solve for x
    x = 198,015,986,973.39/508,524.78
  6. Step 6: Final answer
    x = 389,392.99

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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.