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Finding the Fourth Proportional to 424,074.96, 636,143.31 and 157,835.39

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Solution

The fourth proportional to 424,074.96, 636,143.31 and 157,835.39 is: 236,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,074.96 : 636,143.31 = 157,835.39 : x
  2. Step 2: Convert to fraction form
    424,074.96/636,143.31 = 157,835.39/x
  3. Step 3: Cross multiply
    424,074.96x = 636,143.31 × 157,835.39
  4. Step 4: Simplify right side
    424,074.96x = 100,405,924,249.02
  5. Step 5: Solve for x
    x = 100,405,924,249.02/424,074.96
  6. Step 6: Final answer
    x = 236,764.57

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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.