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Finding the Fourth Proportional to 228,409.61, 342,388.40 and 108,255.39

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Solution

The fourth proportional to 228,409.61, 342,388.40 and 108,255.39 is: 162,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,409.61 : 342,388.40 = 108,255.39 : x
  2. Step 2: Convert to fraction form
    228,409.61/342,388.40 = 108,255.39/x
  3. Step 3: Cross multiply
    228,409.61x = 342,388.40 × 108,255.39
  4. Step 4: Simplify right side
    228,409.61x = 37,065,389,773.48
  5. Step 5: Solve for x
    x = 37,065,389,773.48/228,409.61
  6. Step 6: Final answer
    x = 162,275.96

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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.