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Finding the Fourth Proportional to 515,259.48, 711,099.36 and 285,839.40

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Solution

The fourth proportional to 515,259.48, 711,099.36 and 285,839.40 is: 394,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,259.48 : 711,099.36 = 285,839.40 : x
  2. Step 2: Convert to fraction form
    515,259.48/711,099.36 = 285,839.40/x
  3. Step 3: Cross multiply
    515,259.48x = 711,099.36 × 285,839.40
  4. Step 4: Simplify right side
    515,259.48x = 203,260,214,402.78
  5. Step 5: Solve for x
    x = 203,260,214,402.78/515,259.48
  6. Step 6: Final answer
    x = 394,481.27

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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.