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Finding the Fourth Proportional to 423,469.86, 635,201.10 and 186,812.76

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Solution

The fourth proportional to 423,469.86, 635,201.10 and 186,812.76 is: 280,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,469.86 : 635,201.10 = 186,812.76 : x
  2. Step 2: Convert to fraction form
    423,469.86/635,201.10 = 186,812.76/x
  3. Step 3: Cross multiply
    423,469.86x = 635,201.10 × 186,812.76
  4. Step 4: Simplify right side
    423,469.86x = 118,663,670,646.04
  5. Step 5: Solve for x
    x = 118,663,670,646.04/423,469.86
  6. Step 6: Final answer
    x = 280,217.51

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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.