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Finding the Fourth Proportional to 355,511.24, 490,605.78 and 194,363.72

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Solution

The fourth proportional to 355,511.24, 490,605.78 and 194,363.72 is: 268,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,511.24 : 490,605.78 = 194,363.72 : x
  2. Step 2: Convert to fraction form
    355,511.24/490,605.78 = 194,363.72/x
  3. Step 3: Cross multiply
    355,511.24x = 490,605.78 × 194,363.72
  4. Step 4: Simplify right side
    355,511.24x = 95,355,964,454.30
  5. Step 5: Solve for x
    x = 95,355,964,454.30/355,511.24
  6. Step 6: Final answer
    x = 268,222.08

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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.