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Finding the Fourth Proportional to 464,644.08, 641,404.56 and 313,945.20

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Solution

The fourth proportional to 464,644.08, 641,404.56 and 313,945.20 is: 433,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,644.08 : 641,404.56 = 313,945.20 : x
  2. Step 2: Convert to fraction form
    464,644.08/641,404.56 = 313,945.20/x
  3. Step 3: Cross multiply
    464,644.08x = 641,404.56 × 313,945.20
  4. Step 4: Simplify right side
    464,644.08x = 201,365,882,870.11
  5. Step 5: Solve for x
    x = 201,365,882,870.11/464,644.08
  6. Step 6: Final answer
    x = 433,376.62

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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.