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Finding the Fourth Proportional to 398,556.90, 598,135.59 and 271,897.74

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Solution

The fourth proportional to 398,556.90, 598,135.59 and 271,897.74 is: 408,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,556.90 : 598,135.59 = 271,897.74 : x
  2. Step 2: Convert to fraction form
    398,556.90/598,135.59 = 271,897.74/x
  3. Step 3: Cross multiply
    398,556.90x = 598,135.59 × 271,897.74
  4. Step 4: Simplify right side
    398,556.90x = 162,631,715,134.57
  5. Step 5: Solve for x
    x = 162,631,715,134.57/398,556.90
  6. Step 6: Final answer
    x = 408,051.44

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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.