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Finding the Fourth Proportional to 258,404.31, 356,556.74 and 156,412.35

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Solution

The fourth proportional to 258,404.31, 356,556.74 and 156,412.35 is: 215,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,404.31 : 356,556.74 = 156,412.35 : x
  2. Step 2: Convert to fraction form
    258,404.31/356,556.74 = 156,412.35/x
  3. Step 3: Cross multiply
    258,404.31x = 356,556.74 × 156,412.35
  4. Step 4: Simplify right side
    258,404.31x = 55,769,876,829.68
  5. Step 5: Solve for x
    x = 55,769,876,829.68/258,404.31
  6. Step 6: Final answer
    x = 215,824.10

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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.