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Finding the Fourth Proportional to 415,127.20, 622,690.80 and 205,175.20

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Solution

The fourth proportional to 415,127.20, 622,690.80 and 205,175.20 is: 307,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,127.20 : 622,690.80 = 205,175.20 : x
  2. Step 2: Convert to fraction form
    415,127.20/622,690.80 = 205,175.20/x
  3. Step 3: Cross multiply
    415,127.20x = 622,690.80 × 205,175.20
  4. Step 4: Simplify right side
    415,127.20x = 127,760,709,428.16
  5. Step 5: Solve for x
    x = 127,760,709,428.16/415,127.20
  6. Step 6: Final answer
    x = 307,762.80

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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.