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Finding the Fourth Proportional to 515,292.74, 711,105.78 and 285,854.57

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Solution

The fourth proportional to 515,292.74, 711,105.78 and 285,854.57 is: 394,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,292.74 : 711,105.78 = 285,854.57 : x
  2. Step 2: Convert to fraction form
    515,292.74/711,105.78 = 285,854.57/x
  3. Step 3: Cross multiply
    515,292.74x = 711,105.78 × 285,854.57
  4. Step 4: Simplify right side
    515,292.74x = 203,272,837,149.49
  5. Step 5: Solve for x
    x = 203,272,837,149.49/515,292.74
  6. Step 6: Final answer
    x = 394,480.31

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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.