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Finding the Fourth Proportional to 420,563.52, 580,388.64 and 229,594.56

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Solution

The fourth proportional to 420,563.52, 580,388.64 and 229,594.56 is: 316,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,563.52 : 580,388.64 = 229,594.56 : x
  2. Step 2: Convert to fraction form
    420,563.52/580,388.64 = 229,594.56/x
  3. Step 3: Cross multiply
    420,563.52x = 580,388.64 × 229,594.56
  4. Step 4: Simplify right side
    420,563.52x = 133,254,074,429.80
  5. Step 5: Solve for x
    x = 133,254,074,429.80/420,563.52
  6. Step 6: Final answer
    x = 316,846.49

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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.