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Finding the Fourth Proportional to 353,820.78, 488,267.85 and 200,857.65

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Solution

The fourth proportional to 353,820.78, 488,267.85 and 200,857.65 is: 277,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,820.78 : 488,267.85 = 200,857.65 : x
  2. Step 2: Convert to fraction form
    353,820.78/488,267.85 = 200,857.65/x
  3. Step 3: Cross multiply
    353,820.78x = 488,267.85 × 200,857.65
  4. Step 4: Simplify right side
    353,820.78x = 98,072,332,921.55
  5. Step 5: Solve for x
    x = 98,072,332,921.55/353,820.78
  6. Step 6: Final answer
    x = 277,180.82

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1.5x scale

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.