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Finding the Fourth Proportional to 420,588.45, 580,411.80 and 229,601.79

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Solution

The fourth proportional to 420,588.45, 580,411.80 and 229,601.79 is: 316,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,588.45 : 580,411.80 = 229,601.79 : x
  2. Step 2: Convert to fraction form
    420,588.45/580,411.80 = 229,601.79/x
  3. Step 3: Cross multiply
    420,588.45x = 580,411.80 × 229,601.79
  4. Step 4: Simplify right side
    420,588.45x = 133,263,588,217.12
  5. Step 5: Solve for x
    x = 133,263,588,217.12/420,588.45
  6. Step 6: Final answer
    x = 316,850.33

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1.5x scale

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.