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Finding the Fourth Proportional to 420,593.64, 580,429.17 and 229,608.48

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Solution

The fourth proportional to 420,593.64, 580,429.17 and 229,608.48 is: 316,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,593.64 : 580,429.17 = 229,608.48 : x
  2. Step 2: Convert to fraction form
    420,593.64/580,429.17 = 229,608.48/x
  3. Step 3: Cross multiply
    420,593.64x = 580,429.17 × 229,608.48
  4. Step 4: Simplify right side
    420,593.64x = 133,271,459,471.36
  5. Step 5: Solve for x
    x = 133,271,459,471.36/420,593.64
  6. Step 6: Final answer
    x = 316,865.13

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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.