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Finding the Fourth Proportional to 284,049.70, 391,996.79 and 156,733.50

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Solution

The fourth proportional to 284,049.70, 391,996.79 and 156,733.50 is: 216,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,049.70 : 391,996.79 = 156,733.50 : x
  2. Step 2: Convert to fraction form
    284,049.70/391,996.79 = 156,733.50/x
  3. Step 3: Cross multiply
    284,049.70x = 391,996.79 × 156,733.50
  4. Step 4: Simplify right side
    284,049.70x = 61,439,028,395.37
  5. Step 5: Solve for x
    x = 61,439,028,395.37/284,049.70
  6. Step 6: Final answer
    x = 216,296.75

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1.5x scale

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.