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Finding the Fourth Proportional to 515,473.49, 711,319.24 and 286,016.23

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Solution

The fourth proportional to 515,473.49, 711,319.24 and 286,016.23 is: 394,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,473.49 : 711,319.24 = 286,016.23 : x
  2. Step 2: Convert to fraction form
    515,473.49/711,319.24 = 286,016.23/x
  3. Step 3: Cross multiply
    515,473.49x = 711,319.24 × 286,016.23
  4. Step 4: Simplify right side
    515,473.49x = 203,448,848,597.94
  5. Step 5: Solve for x
    x = 203,448,848,597.94/515,473.49
  6. Step 6: Final answer
    x = 394,683.43

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1.5x scale

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.