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Finding the Fourth Proportional to 289,789.48, 399,761.22 and 193,159.72

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Solution

The fourth proportional to 289,789.48, 399,761.22 and 193,159.72 is: 266,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,789.48 : 399,761.22 = 193,159.72 : x
  2. Step 2: Convert to fraction form
    289,789.48/399,761.22 = 193,159.72/x
  3. Step 3: Cross multiply
    289,789.48x = 399,761.22 × 193,159.72
  4. Step 4: Simplify right side
    289,789.48x = 77,217,765,322.06
  5. Step 5: Solve for x
    x = 77,217,765,322.06/289,789.48
  6. Step 6: Final answer
    x = 266,461.59

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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.