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Finding the Fourth Proportional to 221,635.85, 305,649.87 and 176,462.96

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Solution

The fourth proportional to 221,635.85, 305,649.87 and 176,462.96 is: 243,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,635.85 : 305,649.87 = 176,462.96 : x
  2. Step 2: Convert to fraction form
    221,635.85/305,649.87 = 176,462.96/x
  3. Step 3: Cross multiply
    221,635.85x = 305,649.87 × 176,462.96
  4. Step 4: Simplify right side
    221,635.85x = 53,935,880,783.82
  5. Step 5: Solve for x
    x = 53,935,880,783.82/221,635.85
  6. Step 6: Final answer
    x = 243,353.59

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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.