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Finding the Fourth Proportional to 271,900.80, 407,851.20 and 208,842.30

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Solution

The fourth proportional to 271,900.80, 407,851.20 and 208,842.30 is: 313,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,900.80 : 407,851.20 = 208,842.30 : x
  2. Step 2: Convert to fraction form
    271,900.80/407,851.20 = 208,842.30/x
  3. Step 3: Cross multiply
    271,900.80x = 407,851.20 × 208,842.30
  4. Step 4: Simplify right side
    271,900.80x = 85,176,582,665.76
  5. Step 5: Solve for x
    x = 85,176,582,665.76/271,900.80
  6. Step 6: Final answer
    x = 313,263.45

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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.