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Finding the Fourth Proportional to 356,328.74, 491,741.57 and 203,363.88

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Solution

The fourth proportional to 356,328.74, 491,741.57 and 203,363.88 is: 280,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,328.74 : 491,741.57 = 203,363.88 : x
  2. Step 2: Convert to fraction form
    356,328.74/491,741.57 = 203,363.88/x
  3. Step 3: Cross multiply
    356,328.74x = 491,741.57 × 203,363.88
  4. Step 4: Simplify right side
    356,328.74x = 100,002,474,140.90
  5. Step 5: Solve for x
    x = 100,002,474,140.90/356,328.74
  6. Step 6: Final answer
    x = 280,646.67

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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.