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Finding the Fourth Proportional to 283,359.94, 391,034.78 and 156,034.50

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Solution

The fourth proportional to 283,359.94, 391,034.78 and 156,034.50 is: 215,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,359.94 : 391,034.78 = 156,034.50 : x
  2. Step 2: Convert to fraction form
    283,359.94/391,034.78 = 156,034.50/x
  3. Step 3: Cross multiply
    283,359.94x = 391,034.78 × 156,034.50
  4. Step 4: Simplify right side
    283,359.94x = 61,014,916,379.91
  5. Step 5: Solve for x
    x = 61,014,916,379.91/283,359.94
  6. Step 6: Final answer
    x = 215,326.54

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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.