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Finding the Fourth Proportional to 356,323.86, 491,734.83 and 203,359.01

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Solution

The fourth proportional to 356,323.86, 491,734.83 and 203,359.01 is: 280,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,323.86 : 491,734.83 = 203,359.01 : x
  2. Step 2: Convert to fraction form
    356,323.86/491,734.83 = 203,359.01/x
  3. Step 3: Cross multiply
    356,323.86x = 491,734.83 × 203,359.01
  4. Step 4: Simplify right side
    356,323.86x = 99,998,706,515.24
  5. Step 5: Solve for x
    x = 99,998,706,515.24/356,323.86
  6. Step 6: Final answer
    x = 280,639.94

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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.