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Finding the Fourth Proportional to 341,321.54, 510,990.72 and 198,731.84

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Solution

The fourth proportional to 341,321.54, 510,990.72 and 198,731.84 is: 297,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,321.54 : 510,990.72 = 198,731.84 : x
  2. Step 2: Convert to fraction form
    341,321.54/510,990.72 = 198,731.84/x
  3. Step 3: Cross multiply
    341,321.54x = 510,990.72 × 198,731.84
  4. Step 4: Simplify right side
    341,321.54x = 101,550,126,008.53
  5. Step 5: Solve for x
    x = 101,550,126,008.53/341,321.54
  6. Step 6: Final answer
    x = 297,520.41

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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.