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Finding the Fourth Proportional to 353,930.60, 488,406.98 and 200,948.74

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Solution

The fourth proportional to 353,930.60, 488,406.98 and 200,948.74 is: 277,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,930.60 : 488,406.98 = 200,948.74 : x
  2. Step 2: Convert to fraction form
    353,930.60/488,406.98 = 200,948.74/x
  3. Step 3: Cross multiply
    353,930.60x = 488,406.98 × 200,948.74
  4. Step 4: Simplify right side
    353,930.60x = 98,144,767,238.21
  5. Step 5: Solve for x
    x = 98,144,767,238.21/353,930.60
  6. Step 6: Final answer
    x = 277,299.47

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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.