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Finding the Fourth Proportional to 284,110.94, 392,062.82 and 156,783.80

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Solution

The fourth proportional to 284,110.94, 392,062.82 and 156,783.80 is: 216,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,110.94 : 392,062.82 = 156,783.80 : x
  2. Step 2: Convert to fraction form
    284,110.94/392,062.82 = 156,783.80/x
  3. Step 3: Cross multiply
    284,110.94x = 392,062.82 × 156,783.80
  4. Step 4: Simplify right side
    284,110.94x = 61,469,096,014.08
  5. Step 5: Solve for x
    x = 61,469,096,014.08/284,110.94
  6. Step 6: Final answer
    x = 216,355.97

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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.