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Finding the Fourth Proportional to 307,874.70, 461,812.05 and 208,082.70

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Solution

The fourth proportional to 307,874.70, 461,812.05 and 208,082.70 is: 312,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,874.70 : 461,812.05 = 208,082.70 : x
  2. Step 2: Convert to fraction form
    307,874.70/461,812.05 = 208,082.70/x
  3. Step 3: Cross multiply
    307,874.70x = 461,812.05 × 208,082.70
  4. Step 4: Simplify right side
    307,874.70x = 96,095,098,256.54
  5. Step 5: Solve for x
    x = 96,095,098,256.54/307,874.70
  6. Step 6: Final answer
    x = 312,124.05

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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.