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Finding the Fourth Proportional to 284,580.76, 392,786.92 and 163,791.80

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Solution

The fourth proportional to 284,580.76, 392,786.92 and 163,791.80 is: 226,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,580.76 : 392,786.92 = 163,791.80 : x
  2. Step 2: Convert to fraction form
    284,580.76/392,786.92 = 163,791.80/x
  3. Step 3: Cross multiply
    284,580.76x = 392,786.92 × 163,791.80
  4. Step 4: Simplify right side
    284,580.76x = 64,335,276,643.26
  5. Step 5: Solve for x
    x = 64,335,276,643.26/284,580.76
  6. Step 6: Final answer
    x = 226,070.37

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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.