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Finding the Fourth Proportional to 375,576.75, 518,296.32 and 205,811.28

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Solution

The fourth proportional to 375,576.75, 518,296.32 and 205,811.28 is: 284,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,576.75 : 518,296.32 = 205,811.28 : x
  2. Step 2: Convert to fraction form
    375,576.75/518,296.32 = 205,811.28/x
  3. Step 3: Cross multiply
    375,576.75x = 518,296.32 × 205,811.28
  4. Step 4: Simplify right side
    375,576.75x = 106,671,229,038.49
  5. Step 5: Solve for x
    x = 106,671,229,038.49/375,576.75
  6. Step 6: Final answer
    x = 284,019.79

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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.