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Finding the Fourth Proportional to 284,118.60, 392,150.66 and 163,329.96

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Solution

The fourth proportional to 284,118.60, 392,150.66 and 163,329.96 is: 225,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,118.60 : 392,150.66 = 163,329.96 : x
  2. Step 2: Convert to fraction form
    284,118.60/392,150.66 = 163,329.96/x
  3. Step 3: Cross multiply
    284,118.60x = 392,150.66 × 163,329.96
  4. Step 4: Simplify right side
    284,118.60x = 64,049,951,611.77
  5. Step 5: Solve for x
    x = 64,049,951,611.77/284,118.60
  6. Step 6: Final answer
    x = 225,433.86

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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.