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Finding the Fourth Proportional to 285,150.47, 393,101.96 and 194,389.97

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Solution

The fourth proportional to 285,150.47, 393,101.96 and 194,389.97 is: 267,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,150.47 : 393,101.96 = 194,389.97 : x
  2. Step 2: Convert to fraction form
    285,150.47/393,101.96 = 194,389.97/x
  3. Step 3: Cross multiply
    285,150.47x = 393,101.96 × 194,389.97
  4. Step 4: Simplify right side
    285,150.47x = 76,415,075,273.88
  5. Step 5: Solve for x
    x = 76,415,075,273.88/285,150.47
  6. Step 6: Final answer
    x = 267,981.59

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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.