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Finding the Fourth Proportional to 420,651.84, 580,496.64 and 229,664.64

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Solution

The fourth proportional to 420,651.84, 580,496.64 and 229,664.64 is: 316,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,651.84 : 580,496.64 = 229,664.64 : x
  2. Step 2: Convert to fraction form
    420,651.84/580,496.64 = 229,664.64/x
  3. Step 3: Cross multiply
    420,651.84x = 580,496.64 × 229,664.64
  4. Step 4: Simplify right side
    420,651.84x = 133,319,551,846.81
  5. Step 5: Solve for x
    x = 133,319,551,846.81/420,651.84
  6. Step 6: Final answer
    x = 316,935.62

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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.