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Finding the Fourth Proportional to 217,580.82, 300,283.14 and 146,109.66

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Solution

The fourth proportional to 217,580.82, 300,283.14 and 146,109.66 is: 201,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,580.82 : 300,283.14 = 146,109.66 : x
  2. Step 2: Convert to fraction form
    217,580.82/300,283.14 = 146,109.66/x
  3. Step 3: Cross multiply
    217,580.82x = 300,283.14 × 146,109.66
  4. Step 4: Simplify right side
    217,580.82x = 43,874,267,489.13
  5. Step 5: Solve for x
    x = 43,874,267,489.13/217,580.82
  6. Step 6: Final answer
    x = 201,645.84

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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.