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Finding the Fourth Proportional to 415,079.60, 622,619.40 and 205,127.60

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Solution

The fourth proportional to 415,079.60, 622,619.40 and 205,127.60 is: 307,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079.60 : 622,619.40 = 205,127.60 : x
  2. Step 2: Convert to fraction form
    415,079.60/622,619.40 = 205,127.60/x
  3. Step 3: Cross multiply
    415,079.60x = 622,619.40 × 205,127.60
  4. Step 4: Simplify right side
    415,079.60x = 127,716,423,235.44
  5. Step 5: Solve for x
    x = 127,716,423,235.44/415,079.60
  6. Step 6: Final answer
    x = 307,691.40

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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.