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Finding the Fourth Proportional to 515,100.69, 710,861.94 and 285,642.54

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Solution

The fourth proportional to 515,100.69, 710,861.94 and 285,642.54 is: 394,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,100.69 : 710,861.94 = 285,642.54 : x
  2. Step 2: Convert to fraction form
    515,100.69/710,861.94 = 285,642.54/x
  3. Step 3: Cross multiply
    515,100.69x = 710,861.94 × 285,642.54
  4. Step 4: Simplify right side
    515,100.69x = 203,052,410,130.93
  5. Step 5: Solve for x
    x = 203,052,410,130.93/515,100.69
  6. Step 6: Final answer
    x = 394,199.45

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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.