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Finding the Fourth Proportional to 493,722.48, 740,609.60 and 156,790

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Solution

The fourth proportional to 493,722.48, 740,609.60 and 156,790 is: 235,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,722.48 : 740,609.60 = 156,790 : x
  2. Step 2: Convert to fraction form
    493,722.48/740,609.60 = 156,790/x
  3. Step 3: Cross multiply
    493,722.48x = 740,609.60 × 156,790
  4. Step 4: Simplify right side
    493,722.48x = 116,120,179,184
  5. Step 5: Solve for x
    x = 116,120,179,184/493,722.48
  6. Step 6: Final answer
    x = 235,193.22

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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.