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Finding the Fourth Proportional to 284,573.30, 392,784.92 and 163,726.96

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Solution

The fourth proportional to 284,573.30, 392,784.92 and 163,726.96 is: 225,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,573.30 : 392,784.92 = 163,726.96 : x
  2. Step 2: Convert to fraction form
    284,573.30/392,784.92 = 163,726.96/x
  3. Step 3: Cross multiply
    284,573.30x = 392,784.92 × 163,726.96
  4. Step 4: Simplify right side
    284,573.30x = 64,309,480,885.44
  5. Step 5: Solve for x
    x = 64,309,480,885.44/284,573.30
  6. Step 6: Final answer
    x = 225,985.65

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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.