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Finding the Fourth Proportional to 357,478.11, 493,331.31 and 206,575.11

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Solution

The fourth proportional to 357,478.11, 493,331.31 and 206,575.11 is: 285,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,478.11 : 493,331.31 = 206,575.11 : x
  2. Step 2: Convert to fraction form
    357,478.11/493,331.31 = 206,575.11/x
  3. Step 3: Cross multiply
    357,478.11x = 493,331.31 × 206,575.11
  4. Step 4: Simplify right side
    357,478.11x = 101,909,969,629.69
  5. Step 5: Solve for x
    x = 101,909,969,629.69/357,478.11
  6. Step 6: Final answer
    x = 285,080.31

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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.