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Finding the Fourth Proportional to 375,395.46, 518,045.70 and 205,629.54

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Solution

The fourth proportional to 375,395.46, 518,045.70 and 205,629.54 is: 283,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,395.46 : 518,045.70 = 205,629.54 : x
  2. Step 2: Convert to fraction form
    375,395.46/518,045.70 = 205,629.54/x
  3. Step 3: Cross multiply
    375,395.46x = 518,045.70 × 205,629.54
  4. Step 4: Simplify right side
    375,395.46x = 106,525,498,989.98
  5. Step 5: Solve for x
    x = 106,525,498,989.98/375,395.46
  6. Step 6: Final answer
    x = 283,768.75

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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.