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Finding the Fourth Proportional to 397,768.50, 548,920.62 and 218,920.50

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Solution

The fourth proportional to 397,768.50, 548,920.62 and 218,920.50 is: 302,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,768.50 : 548,920.62 = 218,920.50 : x
  2. Step 2: Convert to fraction form
    397,768.50/548,920.62 = 218,920.50/x
  3. Step 3: Cross multiply
    397,768.50x = 548,920.62 × 218,920.50
  4. Step 4: Simplify right side
    397,768.50x = 120,169,976,590.71
  5. Step 5: Solve for x
    x = 120,169,976,590.71/397,768.50
  6. Step 6: Final answer
    x = 302,110.34

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1.5x scale

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.