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Finding the Fourth Proportional to 427,624.52, 640,924.88 and 199,613.37

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Solution

The fourth proportional to 427,624.52, 640,924.88 and 199,613.37 is: 299,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,624.52 : 640,924.88 = 199,613.37 : x
  2. Step 2: Convert to fraction form
    427,624.52/640,924.88 = 199,613.37/x
  3. Step 3: Cross multiply
    427,624.52x = 640,924.88 × 199,613.37
  4. Step 4: Simplify right side
    427,624.52x = 127,937,175,377.86
  5. Step 5: Solve for x
    x = 127,937,175,377.86/427,624.52
  6. Step 6: Final answer
    x = 299,181.10

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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.