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Finding the Fourth Proportional to 464,634.08, 641,420.32 and 311,616.32

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Solution

The fourth proportional to 464,634.08, 641,420.32 and 311,616.32 is: 430,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,634.08 : 641,420.32 = 311,616.32 : x
  2. Step 2: Convert to fraction form
    464,634.08/641,420.32 = 311,616.32/x
  3. Step 3: Cross multiply
    464,634.08x = 641,420.32 × 311,616.32
  4. Step 4: Simplify right side
    464,634.08x = 199,877,039,691.62
  5. Step 5: Solve for x
    x = 199,877,039,691.62/464,634.08
  6. Step 6: Final answer
    x = 430,181.62

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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.