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Finding the Fourth Proportional to 357,057.14, 492,754.25 and 213,789.80

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Solution

The fourth proportional to 357,057.14, 492,754.25 and 213,789.80 is: 295,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,057.14 : 492,754.25 = 213,789.80 : x
  2. Step 2: Convert to fraction form
    357,057.14/492,754.25 = 213,789.80/x
  3. Step 3: Cross multiply
    357,057.14x = 492,754.25 × 213,789.80
  4. Step 4: Simplify right side
    357,057.14x = 105,345,834,323.01
  5. Step 5: Solve for x
    x = 105,345,834,323.01/357,057.14
  6. Step 6: Final answer
    x = 295,039.15

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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.