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Finding the Fourth Proportional to 278,668.72, 384,586.55 and 157,831.50

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Solution

The fourth proportional to 278,668.72, 384,586.55 and 157,831.50 is: 217,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668.72 : 384,586.55 = 157,831.50 : x
  2. Step 2: Convert to fraction form
    278,668.72/384,586.55 = 157,831.50/x
  3. Step 3: Cross multiply
    278,668.72x = 384,586.55 × 157,831.50
  4. Step 4: Simplify right side
    278,668.72x = 60,699,873,246.62
  5. Step 5: Solve for x
    x = 60,699,873,246.62/278,668.72
  6. Step 6: Final answer
    x = 217,820.91

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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.