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Finding the Fourth Proportional to 515,398.49, 711,249.23 and 289,042.01

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Solution

The fourth proportional to 515,398.49, 711,249.23 and 289,042.01 is: 398,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,398.49 : 711,249.23 = 289,042.01 : x
  2. Step 2: Convert to fraction form
    515,398.49/711,249.23 = 289,042.01/x
  3. Step 3: Cross multiply
    515,398.49x = 711,249.23 × 289,042.01
  4. Step 4: Simplify right side
    515,398.49x = 205,580,905,604.94
  5. Step 5: Solve for x
    x = 205,580,905,604.94/515,398.49
  6. Step 6: Final answer
    x = 398,877.59

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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.