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Finding the Fourth Proportional to 353,819.81, 488,266.50 and 200,856.66

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Solution

The fourth proportional to 353,819.81, 488,266.50 and 200,856.66 is: 277,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,819.81 : 488,266.50 = 200,856.66 : x
  2. Step 2: Convert to fraction form
    353,819.81/488,266.50 = 200,856.66/x
  3. Step 3: Cross multiply
    353,819.81x = 488,266.50 × 200,856.66
  4. Step 4: Simplify right side
    353,819.81x = 98,071,578,379.89
  5. Step 5: Solve for x
    x = 98,071,578,379.89/353,819.81
  6. Step 6: Final answer
    x = 277,179.45

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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.