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Finding the Fourth Proportional to 515,128.44, 710,919.81 and 285,759.68

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Solution

The fourth proportional to 515,128.44, 710,919.81 and 285,759.68 is: 394,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,128.44 : 710,919.81 = 285,759.68 : x
  2. Step 2: Convert to fraction form
    515,128.44/710,919.81 = 285,759.68/x
  3. Step 3: Cross multiply
    515,128.44x = 710,919.81 × 285,759.68
  4. Step 4: Simplify right side
    515,128.44x = 203,152,217,411.26
  5. Step 5: Solve for x
    x = 203,152,217,411.26/515,128.44
  6. Step 6: Final answer
    x = 394,371.97

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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.