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Finding the Fourth Proportional to 409,576.64, 565,219.52 and 225,821.81

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Solution

The fourth proportional to 409,576.64, 565,219.52 and 225,821.81 is: 311,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,576.64 : 565,219.52 = 225,821.81 : x
  2. Step 2: Convert to fraction form
    409,576.64/565,219.52 = 225,821.81/x
  3. Step 3: Cross multiply
    409,576.64x = 565,219.52 × 225,821.81
  4. Step 4: Simplify right side
    409,576.64x = 127,638,892,370.02
  5. Step 5: Solve for x
    x = 127,638,892,370.02/409,576.64
  6. Step 6: Final answer
    x = 311,636.16

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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.