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Finding the Fourth Proportional to 515,663.42, 711,604.44 and 286,207.29

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Solution

The fourth proportional to 515,663.42, 711,604.44 and 286,207.29 is: 394,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,663.42 : 711,604.44 = 286,207.29 : x
  2. Step 2: Convert to fraction form
    515,663.42/711,604.44 = 286,207.29/x
  3. Step 3: Cross multiply
    515,663.42x = 711,604.44 × 286,207.29
  4. Step 4: Simplify right side
    515,663.42x = 203,666,378,324.37
  5. Step 5: Solve for x
    x = 203,666,378,324.37/515,663.42
  6. Step 6: Final answer
    x = 394,959.91

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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.