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Finding the Fourth Proportional to 397,169.50, 548,357.86 and 305,124.86

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Solution

The fourth proportional to 397,169.50, 548,357.86 and 305,124.86 is: 421,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,169.50 : 548,357.86 = 305,124.86 : x
  2. Step 2: Convert to fraction form
    397,169.50/548,357.86 = 305,124.86/x
  3. Step 3: Cross multiply
    397,169.50x = 548,357.86 × 305,124.86
  4. Step 4: Simplify right side
    397,169.50x = 167,317,615,262.40
  5. Step 5: Solve for x
    x = 167,317,615,262.40/397,169.50
  6. Step 6: Final answer
    x = 421,275.09

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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.