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Finding the Fourth Proportional to 361,455.32, 498,811.22 and 200,313

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Solution

The fourth proportional to 361,455.32, 498,811.22 and 200,313 is: 276,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,455.32 : 498,811.22 = 200,313 : x
  2. Step 2: Convert to fraction form
    361,455.32/498,811.22 = 200,313/x
  3. Step 3: Cross multiply
    361,455.32x = 498,811.22 × 200,313
  4. Step 4: Simplify right side
    361,455.32x = 99,918,371,911.86
  5. Step 5: Solve for x
    x = 99,918,371,911.86/361,455.32
  6. Step 6: Final answer
    x = 276,433.54

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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.