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Finding the Fourth Proportional to 481,409.70, 663,742.38 and 309,023.52

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Solution

The fourth proportional to 481,409.70, 663,742.38 and 309,023.52 is: 426,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,409.70 : 663,742.38 = 309,023.52 : x
  2. Step 2: Convert to fraction form
    481,409.70/663,742.38 = 309,023.52/x
  3. Step 3: Cross multiply
    481,409.70x = 663,742.38 × 309,023.52
  4. Step 4: Simplify right side
    481,409.70x = 205,112,006,640.78
  5. Step 5: Solve for x
    x = 205,112,006,640.78/481,409.70
  6. Step 6: Final answer
    x = 426,065.38

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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.