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Finding the Fourth Proportional to 420,845.83, 580,767.24 and 229,859.67

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Solution

The fourth proportional to 420,845.83, 580,767.24 and 229,859.67 is: 317,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,845.83 : 580,767.24 = 229,859.67 : x
  2. Step 2: Convert to fraction form
    420,845.83/580,767.24 = 229,859.67/x
  3. Step 3: Cross multiply
    420,845.83x = 580,767.24 × 229,859.67
  4. Step 4: Simplify right side
    420,845.83x = 133,494,966,133.21
  5. Step 5: Solve for x
    x = 133,494,966,133.21/420,845.83
  6. Step 6: Final answer
    x = 317,206.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.