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Finding the Fourth Proportional to 356,989.96, 534,755.94 and 199,302.40

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Solution

The fourth proportional to 356,989.96, 534,755.94 and 199,302.40 is: 298,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,989.96 : 534,755.94 = 199,302.40 : x
  2. Step 2: Convert to fraction form
    356,989.96/534,755.94 = 199,302.40/x
  3. Step 3: Cross multiply
    356,989.96x = 534,755.94 × 199,302.40
  4. Step 4: Simplify right side
    356,989.96x = 106,578,142,256.26
  5. Step 5: Solve for x
    x = 106,578,142,256.26/356,989.96
  6. Step 6: Final answer
    x = 298,546.61

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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.