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Finding the Fourth Proportional to 420,676.49, 580,529.15 and 229,689.29

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Solution

The fourth proportional to 420,676.49, 580,529.15 and 229,689.29 is: 316,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,676.49 : 580,529.15 = 229,689.29 : x
  2. Step 2: Convert to fraction form
    420,676.49/580,529.15 = 229,689.29/x
  3. Step 3: Cross multiply
    420,676.49x = 580,529.15 × 229,689.29
  4. Step 4: Simplify right side
    420,676.49x = 133,341,328,287.80
  5. Step 5: Solve for x
    x = 133,341,328,287.80/420,676.49
  6. Step 6: Final answer
    x = 316,968.81

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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.