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Finding the Fourth Proportional to 299,576.16, 413,583.84 and 207,828

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Solution

The fourth proportional to 299,576.16, 413,583.84 and 207,828 is: 286,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.16 : 413,583.84 = 207,828 : x
  2. Step 2: Convert to fraction form
    299,576.16/413,583.84 = 207,828/x
  3. Step 3: Cross multiply
    299,576.16x = 413,583.84 × 207,828
  4. Step 4: Simplify right side
    299,576.16x = 85,954,302,299.52
  5. Step 5: Solve for x
    x = 85,954,302,299.52/299,576.16
  6. Step 6: Final answer
    x = 286,919.70

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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.