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Finding the Fourth Proportional to 515,206.44, 710,987.37 and 285,747.75

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Solution

The fourth proportional to 515,206.44, 710,987.37 and 285,747.75 is: 394,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,206.44 : 710,987.37 = 285,747.75 : x
  2. Step 2: Convert to fraction form
    515,206.44/710,987.37 = 285,747.75/x
  3. Step 3: Cross multiply
    515,206.44x = 710,987.37 × 285,747.75
  4. Step 4: Simplify right side
    515,206.44x = 203,163,041,255.92
  5. Step 5: Solve for x
    x = 203,163,041,255.92/515,206.44
  6. Step 6: Final answer
    x = 394,333.27

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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.