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Finding the Fourth Proportional to 347,044.30, 478,917.80 and 194,080.80

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Solution

The fourth proportional to 347,044.30, 478,917.80 and 194,080.80 is: 267,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,044.30 : 478,917.80 = 194,080.80 : x
  2. Step 2: Convert to fraction form
    347,044.30/478,917.80 = 194,080.80/x
  3. Step 3: Cross multiply
    347,044.30x = 478,917.80 × 194,080.80
  4. Step 4: Simplify right side
    347,044.30x = 92,948,749,758.24
  5. Step 5: Solve for x
    x = 92,948,749,758.24/347,044.30
  6. Step 6: Final answer
    x = 267,829.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.