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Finding the Fourth Proportional to 285,301.67, 393,843.50 and 188,563.82

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Solution

The fourth proportional to 285,301.67, 393,843.50 and 188,563.82 is: 260,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,301.67 : 393,843.50 = 188,563.82 : x
  2. Step 2: Convert to fraction form
    285,301.67/393,843.50 = 188,563.82/x
  3. Step 3: Cross multiply
    285,301.67x = 393,843.50 × 188,563.82
  4. Step 4: Simplify right side
    285,301.67x = 74,264,636,755.81
  5. Step 5: Solve for x
    x = 74,264,636,755.81/285,301.67
  6. Step 6: Final answer
    x = 260,302.15

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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.