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Finding the Fourth Proportional to 515,473.59, 711,319.37 and 286,016.33

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Solution

The fourth proportional to 515,473.59, 711,319.37 and 286,016.33 is: 394,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,473.59 : 711,319.37 = 286,016.33 : x
  2. Step 2: Convert to fraction form
    515,473.59/711,319.37 = 286,016.33/x
  3. Step 3: Cross multiply
    515,473.59x = 711,319.37 × 286,016.33
  4. Step 4: Simplify right side
    515,473.59x = 203,448,950,678.63
  5. Step 5: Solve for x
    x = 203,448,950,678.63/515,473.59
  6. Step 6: Final answer
    x = 394,683.56

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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.