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Finding the Fourth Proportional to 203,491.56, 280,494.68 and 160,401.18

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Solution

The fourth proportional to 203,491.56, 280,494.68 and 160,401.18 is: 221,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,491.56 : 280,494.68 = 160,401.18 : x
  2. Step 2: Convert to fraction form
    203,491.56/280,494.68 = 160,401.18/x
  3. Step 3: Cross multiply
    203,491.56x = 280,494.68 × 160,401.18
  4. Step 4: Simplify right side
    203,491.56x = 44,991,677,655.72
  5. Step 5: Solve for x
    x = 44,991,677,655.72/203,491.56
  6. Step 6: Final answer
    x = 221,098.49

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1.5x scale

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.