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Finding the Fourth Proportional to 515,473.49, 711,319.23 and 286,016.22

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Solution

The fourth proportional to 515,473.49, 711,319.23 and 286,016.22 is: 394,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,473.49 : 711,319.23 = 286,016.22 : x
  2. Step 2: Convert to fraction form
    515,473.49/711,319.23 = 286,016.22/x
  3. Step 3: Cross multiply
    515,473.49x = 711,319.23 × 286,016.22
  4. Step 4: Simplify right side
    515,473.49x = 203,448,837,377.91
  5. Step 5: Solve for x
    x = 203,448,837,377.91/515,473.49
  6. Step 6: Final answer
    x = 394,683.41

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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.