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Finding the Fourth Proportional to 608,813.72, 913,211 and 209,457.96

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Solution

The fourth proportional to 608,813.72, 913,211 and 209,457.96 is: 314,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,813.72 : 913,211 = 209,457.96 : x
  2. Step 2: Convert to fraction form
    608,813.72/913,211 = 209,457.96/x
  3. Step 3: Cross multiply
    608,813.72x = 913,211 × 209,457.96
  4. Step 4: Simplify right side
    608,813.72x = 191,279,313,109.56
  5. Step 5: Solve for x
    x = 191,279,313,109.56/608,813.72
  6. Step 6: Final answer
    x = 314,183.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.