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Finding the Fourth Proportional to 353,774.24, 488,183.76 and 200,815.52

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Solution

The fourth proportional to 353,774.24, 488,183.76 and 200,815.52 is: 277,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,774.24 : 488,183.76 = 200,815.52 : x
  2. Step 2: Convert to fraction form
    353,774.24/488,183.76 = 200,815.52/x
  3. Step 3: Cross multiply
    353,774.24x = 488,183.76 × 200,815.52
  4. Step 4: Simplify right side
    353,774.24x = 98,034,875,619.96
  5. Step 5: Solve for x
    x = 98,034,875,619.96/353,774.24
  6. Step 6: Final answer
    x = 277,111.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.