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Finding the Fourth Proportional to 464,640.66, 641,429.37 and 311,622.98

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Solution

The fourth proportional to 464,640.66, 641,429.37 and 311,622.98 is: 430,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,640.66 : 641,429.37 = 311,622.98 : x
  2. Step 2: Convert to fraction form
    464,640.66/641,429.37 = 311,622.98/x
  3. Step 3: Cross multiply
    464,640.66x = 641,429.37 × 311,622.98
  4. Step 4: Simplify right side
    464,640.66x = 199,884,128,531.78
  5. Step 5: Solve for x
    x = 199,884,128,531.78/464,640.66
  6. Step 6: Final answer
    x = 430,190.78

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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.