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Finding the Fourth Proportional to 284,049.67, 391,996.74 and 156,733.46

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Solution

The fourth proportional to 284,049.67, 391,996.74 and 156,733.46 is: 216,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,049.67 : 391,996.74 = 156,733.46 : x
  2. Step 2: Convert to fraction form
    284,049.67/391,996.74 = 156,733.46/x
  3. Step 3: Cross multiply
    284,049.67x = 391,996.74 × 156,733.46
  4. Step 4: Simplify right side
    284,049.67x = 61,439,006,055.04
  5. Step 5: Solve for x
    x = 61,439,006,055.04/284,049.67
  6. Step 6: Final answer
    x = 216,296.70

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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.