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Finding the Fourth Proportional to 198,348.92, 298,038.54 and 185,390.54

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Solution

The fourth proportional to 198,348.92, 298,038.54 and 185,390.54 is: 278,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,348.92 : 298,038.54 = 185,390.54 : x
  2. Step 2: Convert to fraction form
    198,348.92/298,038.54 = 185,390.54/x
  3. Step 3: Cross multiply
    198,348.92x = 298,038.54 × 185,390.54
  4. Step 4: Simplify right side
    198,348.92x = 55,253,525,871.41
  5. Step 5: Solve for x
    x = 55,253,525,871.41/198,348.92
  6. Step 6: Final answer
    x = 278,567.31

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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.