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Finding the Fourth Proportional to 284,050.36, 391,990.85 and 156,725.97

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Solution

The fourth proportional to 284,050.36, 391,990.85 and 156,725.97 is: 216,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,050.36 : 391,990.85 = 156,725.97 : x
  2. Step 2: Convert to fraction form
    284,050.36/391,990.85 = 156,725.97/x
  3. Step 3: Cross multiply
    284,050.36x = 391,990.85 × 156,725.97
  4. Step 4: Simplify right side
    284,050.36x = 61,435,146,197.37
  5. Step 5: Solve for x
    x = 61,435,146,197.37/284,050.36
  6. Step 6: Final answer
    x = 216,282.59

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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.