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Finding the Fourth Proportional to 309,558.16, 464,311.32 and 219,227.28

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Solution

The fourth proportional to 309,558.16, 464,311.32 and 219,227.28 is: 328,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,558.16 : 464,311.32 = 219,227.28 : x
  2. Step 2: Convert to fraction form
    309,558.16/464,311.32 = 219,227.28/x
  3. Step 3: Cross multiply
    309,558.16x = 464,311.32 × 219,227.28
  4. Step 4: Simplify right side
    309,558.16x = 101,789,707,756.81
  5. Step 5: Solve for x
    x = 101,789,707,756.81/309,558.16
  6. Step 6: Final answer
    x = 328,822.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.