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Finding the Fourth Proportional to 198,830.40, 298,051.20 and 177,835.20

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Solution

The fourth proportional to 198,830.40, 298,051.20 and 177,835.20 is: 266,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,830.40 : 298,051.20 = 177,835.20 : x
  2. Step 2: Convert to fraction form
    198,830.40/298,051.20 = 177,835.20/x
  3. Step 3: Cross multiply
    198,830.40x = 298,051.20 × 177,835.20
  4. Step 4: Simplify right side
    198,830.40x = 53,003,994,762.24
  5. Step 5: Solve for x
    x = 53,003,994,762.24/198,830.40
  6. Step 6: Final answer
    x = 266,578.93

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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.