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Finding the Fourth Proportional to 257,804.31, 355,764.60 and 143,076.29

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Solution

The fourth proportional to 257,804.31, 355,764.60 and 143,076.29 is: 197,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,804.31 : 355,764.60 = 143,076.29 : x
  2. Step 2: Convert to fraction form
    257,804.31/355,764.60 = 143,076.29/x
  3. Step 3: Cross multiply
    257,804.31x = 355,764.60 × 143,076.29
  4. Step 4: Simplify right side
    257,804.31x = 50,901,480,505.48
  5. Step 5: Solve for x
    x = 50,901,480,505.48/257,804.31
  6. Step 6: Final answer
    x = 197,442.31

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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.