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Finding the Fourth Proportional to 356,376.65, 491,799.75 and 213,136.69

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Solution

The fourth proportional to 356,376.65, 491,799.75 and 213,136.69 is: 294,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,376.65 : 491,799.75 = 213,136.69 : x
  2. Step 2: Convert to fraction form
    356,376.65/491,799.75 = 213,136.69/x
  3. Step 3: Cross multiply
    356,376.65x = 491,799.75 × 213,136.69
  4. Step 4: Simplify right side
    356,376.65x = 104,820,570,857.83
  5. Step 5: Solve for x
    x = 104,820,570,857.83/356,376.65
  6. Step 6: Final answer
    x = 294,128.62

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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.