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Finding the Fourth Proportional to 198,980.40, 298,276.20 and 177,985.20

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Solution

The fourth proportional to 198,980.40, 298,276.20 and 177,985.20 is: 266,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,980.40 : 298,276.20 = 177,985.20 : x
  2. Step 2: Convert to fraction form
    198,980.40/298,276.20 = 177,985.20/x
  3. Step 3: Cross multiply
    198,980.40x = 298,276.20 × 177,985.20
  4. Step 4: Simplify right side
    198,980.40x = 53,088,749,112.24
  5. Step 5: Solve for x
    x = 53,088,749,112.24/198,980.40
  6. Step 6: Final answer
    x = 266,803.91

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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.