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Finding the Fourth Proportional to 420,432, 580,208.46 and 229,457.64

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Solution

The fourth proportional to 420,432, 580,208.46 and 229,457.64 is: 316,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,432 : 580,208.46 = 229,457.64 : x
  2. Step 2: Convert to fraction form
    420,432/580,208.46 = 229,457.64/x
  3. Step 3: Cross multiply
    420,432x = 580,208.46 × 229,457.64
  4. Step 4: Simplify right side
    420,432x = 133,133,263,939.63
  5. Step 5: Solve for x
    x = 133,133,263,939.63/420,432
  6. Step 6: Final answer
    x = 316,658.26

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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.