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Finding the Fourth Proportional to 415,022.19, 622,061.05 and 252,557.92

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Solution

The fourth proportional to 415,022.19, 622,061.05 and 252,557.92 is: 378,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022.19 : 622,061.05 = 252,557.92 : x
  2. Step 2: Convert to fraction form
    415,022.19/622,061.05 = 252,557.92/x
  3. Step 3: Cross multiply
    415,022.19x = 622,061.05 × 252,557.92
  4. Step 4: Simplify right side
    415,022.19x = 157,106,444,901.02
  5. Step 5: Solve for x
    x = 157,106,444,901.02/415,022.19
  6. Step 6: Final answer
    x = 378,549.51

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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.