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Finding the Fourth Proportional to 315,644.49, 435,591.65 and 172,404.50

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Solution

The fourth proportional to 315,644.49, 435,591.65 and 172,404.50 is: 237,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,644.49 : 435,591.65 = 172,404.50 : x
  2. Step 2: Convert to fraction form
    315,644.49/435,591.65 = 172,404.50/x
  3. Step 3: Cross multiply
    315,644.49x = 435,591.65 × 172,404.50
  4. Step 4: Simplify right side
    315,644.49x = 75,097,957,582.44
  5. Step 5: Solve for x
    x = 75,097,957,582.44/315,644.49
  6. Step 6: Final answer
    x = 237,919.43

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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.