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Finding the Fourth Proportional to 300,681.28, 414,842.54 and 205,021.90

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Solution

The fourth proportional to 300,681.28, 414,842.54 and 205,021.90 is: 282,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,681.28 : 414,842.54 = 205,021.90 : x
  2. Step 2: Convert to fraction form
    300,681.28/414,842.54 = 205,021.90/x
  3. Step 3: Cross multiply
    300,681.28x = 414,842.54 × 205,021.90
  4. Step 4: Simplify right side
    300,681.28x = 85,051,805,751.63
  5. Step 5: Solve for x
    x = 85,051,805,751.63/300,681.28
  6. Step 6: Final answer
    x = 282,863.65

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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.