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Finding the Fourth Proportional to 464,294.82, 640,992.30 and 355,198.14

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Solution

The fourth proportional to 464,294.82, 640,992.30 and 355,198.14 is: 490,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,294.82 : 640,992.30 = 355,198.14 : x
  2. Step 2: Convert to fraction form
    464,294.82/640,992.30 = 355,198.14/x
  3. Step 3: Cross multiply
    464,294.82x = 640,992.30 × 355,198.14
  4. Step 4: Simplify right side
    464,294.82x = 227,679,276,450.04
  5. Step 5: Solve for x
    x = 227,679,276,450.04/464,294.82
  6. Step 6: Final answer
    x = 490,376.52

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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.