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Finding the Fourth Proportional to 375,531.58, 518,235.60 and 205,771.78

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Solution

The fourth proportional to 375,531.58, 518,235.60 and 205,771.78 is: 283,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,531.58 : 518,235.60 = 205,771.78 : x
  2. Step 2: Convert to fraction form
    375,531.58/518,235.60 = 205,771.78/x
  3. Step 3: Cross multiply
    375,531.58x = 518,235.60 × 205,771.78
  4. Step 4: Simplify right side
    375,531.58x = 106,638,261,871.37
  5. Step 5: Solve for x
    x = 106,638,261,871.37/375,531.58
  6. Step 6: Final answer
    x = 283,966.16

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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.