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Finding the Fourth Proportional to 401,849.48, 602,774.32 and 313,169.42

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Solution

The fourth proportional to 401,849.48, 602,774.32 and 313,169.42 is: 469,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,849.48 : 602,774.32 = 313,169.42 : x
  2. Step 2: Convert to fraction form
    401,849.48/602,774.32 = 313,169.42/x
  3. Step 3: Cross multiply
    401,849.48x = 602,774.32 × 313,169.42
  4. Step 4: Simplify right side
    401,849.48x = 188,770,484,185.29
  5. Step 5: Solve for x
    x = 188,770,484,185.29/401,849.48
  6. Step 6: Final answer
    x = 469,754.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.