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Finding the Fourth Proportional to 375,415.44, 518,073.40 and 205,655.60

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Solution

The fourth proportional to 375,415.44, 518,073.40 and 205,655.60 is: 283,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,415.44 : 518,073.40 = 205,655.60 : x
  2. Step 2: Convert to fraction form
    375,415.44/518,073.40 = 205,655.60/x
  3. Step 3: Cross multiply
    375,415.44x = 518,073.40 × 205,655.60
  4. Step 4: Simplify right side
    375,415.44x = 106,544,695,921.04
  5. Step 5: Solve for x
    x = 106,544,695,921.04/375,415.44
  6. Step 6: Final answer
    x = 283,804.78

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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.