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Finding the Fourth Proportional to 357,456.30, 493,301.79 and 204,519.66

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Solution

The fourth proportional to 357,456.30, 493,301.79 and 204,519.66 is: 282,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,456.30 : 493,301.79 = 204,519.66 : x
  2. Step 2: Convert to fraction form
    357,456.30/493,301.79 = 204,519.66/x
  3. Step 3: Cross multiply
    357,456.30x = 493,301.79 × 204,519.66
  4. Step 4: Simplify right side
    357,456.30x = 100,889,914,368.19
  5. Step 5: Solve for x
    x = 100,889,914,368.19/357,456.30
  6. Step 6: Final answer
    x = 282,244.05

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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.