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Finding the Fourth Proportional to 422,630.78, 633,738.78 and 209,152.04

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Solution

The fourth proportional to 422,630.78, 633,738.78 and 209,152.04 is: 313,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,630.78 : 633,738.78 = 209,152.04 : x
  2. Step 2: Convert to fraction form
    422,630.78/633,738.78 = 209,152.04/x
  3. Step 3: Cross multiply
    422,630.78x = 633,738.78 × 209,152.04
  4. Step 4: Simplify right side
    422,630.78x = 132,547,755,495.42
  5. Step 5: Solve for x
    x = 132,547,755,495.42/422,630.78
  6. Step 6: Final answer
    x = 313,625.42

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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.