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Finding the Fourth Proportional to 415,260.60, 622,476.18 and 205,049.40

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Solution

The fourth proportional to 415,260.60, 622,476.18 and 205,049.40 is: 307,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260.60 : 622,476.18 = 205,049.40 : x
  2. Step 2: Convert to fraction form
    415,260.60/622,476.18 = 205,049.40/x
  3. Step 3: Cross multiply
    415,260.60x = 622,476.18 × 205,049.40
  4. Step 4: Simplify right side
    415,260.60x = 127,638,367,223.29
  5. Step 5: Solve for x
    x = 127,638,367,223.29/415,260.60
  6. Step 6: Final answer
    x = 307,369.32

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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.