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Finding the Fourth Proportional to 217,797.57, 300,430.32 and 137,084.97

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Solution

The fourth proportional to 217,797.57, 300,430.32 and 137,084.97 is: 189,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,797.57 : 300,430.32 = 137,084.97 : x
  2. Step 2: Convert to fraction form
    217,797.57/300,430.32 = 137,084.97/x
  3. Step 3: Cross multiply
    217,797.57x = 300,430.32 × 137,084.97
  4. Step 4: Simplify right side
    217,797.57x = 41,184,481,404.29
  5. Step 5: Solve for x
    x = 41,184,481,404.29/217,797.57
  6. Step 6: Final answer
    x = 189,095.23

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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.