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Finding the Fourth Proportional to 284,376.40, 392,462.64 and 163,556.80

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Solution

The fourth proportional to 284,376.40, 392,462.64 and 163,556.80 is: 225,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,376.40 : 392,462.64 = 163,556.80 : x
  2. Step 2: Convert to fraction form
    284,376.40/392,462.64 = 163,556.80/x
  3. Step 3: Cross multiply
    284,376.40x = 392,462.64 × 163,556.80
  4. Step 4: Simplify right side
    284,376.40x = 64,189,933,517.95
  5. Step 5: Solve for x
    x = 64,189,933,517.95/284,376.40
  6. Step 6: Final answer
    x = 225,721.73

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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.