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Finding the Fourth Proportional to 284,791.44, 392,923.40 and 189,314.32

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Solution

The fourth proportional to 284,791.44, 392,923.40 and 189,314.32 is: 261,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,791.44 : 392,923.40 = 189,314.32 : x
  2. Step 2: Convert to fraction form
    284,791.44/392,923.40 = 189,314.32/x
  3. Step 3: Cross multiply
    284,791.44x = 392,923.40 × 189,314.32
  4. Step 4: Simplify right side
    284,791.44x = 74,386,026,283.09
  5. Step 5: Solve for x
    x = 74,386,026,283.09/284,791.44
  6. Step 6: Final answer
    x = 261,194.74

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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.