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Finding the Fourth Proportional to 464,622.30, 641,404.07 and 311,604.52

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Solution

The fourth proportional to 464,622.30, 641,404.07 and 311,604.52 is: 430,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,622.30 : 641,404.07 = 311,604.52 : x
  2. Step 2: Convert to fraction form
    464,622.30/641,404.07 = 311,604.52/x
  3. Step 3: Cross multiply
    464,622.30x = 641,404.07 × 311,604.52
  4. Step 4: Simplify right side
    464,622.30x = 199,864,407,358.40
  5. Step 5: Solve for x
    x = 199,864,407,358.40/464,622.30
  6. Step 6: Final answer
    x = 430,165.34

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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.