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Finding the Fourth Proportional to 324,437.40, 486,072.90 and 277,781.40

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Solution

The fourth proportional to 324,437.40, 486,072.90 and 277,781.40 is: 416,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,437.40 : 486,072.90 = 277,781.40 : x
  2. Step 2: Convert to fraction form
    324,437.40/486,072.90 = 277,781.40/x
  3. Step 3: Cross multiply
    324,437.40x = 486,072.90 × 277,781.40
  4. Step 4: Simplify right side
    324,437.40x = 135,022,010,664.06
  5. Step 5: Solve for x
    x = 135,022,010,664.06/324,437.40
  6. Step 6: Final answer
    x = 416,172.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.