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Finding the Fourth Proportional to 415,035.45, 622,553.18 and 204,646.05

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Solution

The fourth proportional to 415,035.45, 622,553.18 and 204,646.05 is: 306,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,035.45 : 622,553.18 = 204,646.05 : x
  2. Step 2: Convert to fraction form
    415,035.45/622,553.18 = 204,646.05/x
  3. Step 3: Cross multiply
    415,035.45x = 622,553.18 × 204,646.05
  4. Step 4: Simplify right side
    415,035.45x = 127,403,048,178.71
  5. Step 5: Solve for x
    x = 127,403,048,178.71/415,035.45
  6. Step 6: Final answer
    x = 306,969.08

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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.