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Finding the Fourth Proportional to 423,816.08, 635,709.72 and 199,050.80

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Solution

The fourth proportional to 423,816.08, 635,709.72 and 199,050.80 is: 298,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,816.08 : 635,709.72 = 199,050.80 : x
  2. Step 2: Convert to fraction form
    423,816.08/635,709.72 = 199,050.80/x
  3. Step 3: Cross multiply
    423,816.08x = 635,709.72 × 199,050.80
  4. Step 4: Simplify right side
    423,816.08x = 126,538,528,333.78
  5. Step 5: Solve for x
    x = 126,538,528,333.78/423,816.08
  6. Step 6: Final answer
    x = 298,569.44

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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.