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Finding the Fourth Proportional to 493,123.16, 739,705.86 and 193,668.68

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Solution

The fourth proportional to 493,123.16, 739,705.86 and 193,668.68 is: 290,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,123.16 : 739,705.86 = 193,668.68 : x
  2. Step 2: Convert to fraction form
    493,123.16/739,705.86 = 193,668.68/x
  3. Step 3: Cross multiply
    493,123.16x = 739,705.86 × 193,668.68
  4. Step 4: Simplify right side
    493,123.16x = 143,257,857,494.47
  5. Step 5: Solve for x
    x = 143,257,857,494.47/493,123.16
  6. Step 6: Final answer
    x = 290,511.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.