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Finding the Fourth Proportional to 1,299,605.73, 1,949,668.47 and 401,013.69

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Solution

The fourth proportional to 1,299,605.73, 1,949,668.47 and 401,013.69 is: 601,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,605.73 : 1,949,668.47 = 401,013.69 : x
  2. Step 2: Convert to fraction form
    1,299,605.73/1,949,668.47 = 401,013.69/x
  3. Step 3: Cross multiply
    1,299,605.73x = 1,949,668.47 × 401,013.69
  4. Step 4: Simplify right side
    1,299,605.73x = 781,843,747,431.35
  5. Step 5: Solve for x
    x = 781,843,747,431.35/1,299,605.73
  6. Step 6: Final answer
    x = 601,600.72

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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.