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Finding the Fourth Proportional to 420,776.82, 580,674.14 and 229,790.21

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Solution

The fourth proportional to 420,776.82, 580,674.14 and 229,790.21 is: 317,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,776.82 : 580,674.14 = 229,790.21 : x
  2. Step 2: Convert to fraction form
    420,776.82/580,674.14 = 229,790.21/x
  3. Step 3: Cross multiply
    420,776.82x = 580,674.14 × 229,790.21
  4. Step 4: Simplify right side
    420,776.82x = 133,433,230,243.27
  5. Step 5: Solve for x
    x = 133,433,230,243.27/420,776.82
  6. Step 6: Final answer
    x = 317,111.65

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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.