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Finding the Fourth Proportional to 356,989.71, 534,755.57 and 199,302.15

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Solution

The fourth proportional to 356,989.71, 534,755.57 and 199,302.15 is: 298,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,989.71 : 534,755.57 = 199,302.15 : x
  2. Step 2: Convert to fraction form
    356,989.71/534,755.57 = 199,302.15/x
  3. Step 3: Cross multiply
    356,989.71x = 534,755.57 × 199,302.15
  4. Step 4: Simplify right side
    356,989.71x = 106,577,933,828.97
  5. Step 5: Solve for x
    x = 106,577,933,828.97/356,989.71
  6. Step 6: Final answer
    x = 298,546.23

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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.