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Finding the Fourth Proportional to 315,283.74, 435,565.45 and 206,645.86

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Solution

The fourth proportional to 315,283.74, 435,565.45 and 206,645.86 is: 285,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,283.74 : 435,565.45 = 206,645.86 : x
  2. Step 2: Convert to fraction form
    315,283.74/435,565.45 = 206,645.86/x
  3. Step 3: Cross multiply
    315,283.74x = 435,565.45 × 206,645.86
  4. Step 4: Simplify right side
    315,283.74x = 90,007,797,001.54
  5. Step 5: Solve for x
    x = 90,007,797,001.54/315,283.74
  6. Step 6: Final answer
    x = 285,481.89

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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.