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Finding the Fourth Proportional to 310,550.36, 465,772.68 and 100,188.29

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Solution

The fourth proportional to 310,550.36, 465,772.68 and 100,188.29 is: 150,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,550.36 : 465,772.68 = 100,188.29 : x
  2. Step 2: Convert to fraction form
    310,550.36/465,772.68 = 100,188.29/x
  3. Step 3: Cross multiply
    310,550.36x = 465,772.68 × 100,188.29
  4. Step 4: Simplify right side
    310,550.36x = 46,664,969,502.35
  5. Step 5: Solve for x
    x = 46,664,969,502.35/310,550.36
  6. Step 6: Final answer
    x = 150,265.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.