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Finding the Fourth Proportional to 415,309.87, 622,527.40 and 215,418.07

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Solution

The fourth proportional to 415,309.87, 622,527.40 and 215,418.07 is: 322,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.87 : 622,527.40 = 215,418.07 : x
  2. Step 2: Convert to fraction form
    415,309.87/622,527.40 = 215,418.07/x
  3. Step 3: Cross multiply
    415,309.87x = 622,527.40 × 215,418.07
  4. Step 4: Simplify right side
    415,309.87x = 134,103,651,030.12
  5. Step 5: Solve for x
    x = 134,103,651,030.12/415,309.87
  6. Step 6: Final answer
    x = 322,900.23

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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.