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Finding the Fourth Proportional to 458,481.96, 687,604.68 and 142,776.36

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Solution

The fourth proportional to 458,481.96, 687,604.68 and 142,776.36 is: 214,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,481.96 : 687,604.68 = 142,776.36 : x
  2. Step 2: Convert to fraction form
    458,481.96/687,604.68 = 142,776.36/x
  3. Step 3: Cross multiply
    458,481.96x = 687,604.68 × 142,776.36
  4. Step 4: Simplify right side
    458,481.96x = 98,173,693,329.36
  5. Step 5: Solve for x
    x = 98,173,693,329.36/458,481.96
  6. Step 6: Final answer
    x = 214,127.71

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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.