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Finding the Fourth Proportional to 515,390.44, 711,214.71 and 285,945.28

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Solution

The fourth proportional to 515,390.44, 711,214.71 and 285,945.28 is: 394,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,390.44 : 711,214.71 = 285,945.28 : x
  2. Step 2: Convert to fraction form
    515,390.44/711,214.71 = 285,945.28/x
  3. Step 3: Cross multiply
    515,390.44x = 711,214.71 × 285,945.28
  4. Step 4: Simplify right side
    515,390.44x = 203,368,489,391.07
  5. Step 5: Solve for x
    x = 203,368,489,391.07/515,390.44
  6. Step 6: Final answer
    x = 394,591.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.