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Finding the Fourth Proportional to 257,804.64, 355,765.05 and 143,076.62

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Solution

The fourth proportional to 257,804.64, 355,765.05 and 143,076.62 is: 197,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,804.64 : 355,765.05 = 143,076.62 : x
  2. Step 2: Convert to fraction form
    257,804.64/355,765.05 = 143,076.62/x
  3. Step 3: Cross multiply
    257,804.64x = 355,765.05 × 143,076.62
  4. Step 4: Simplify right side
    257,804.64x = 50,901,661,826.42
  5. Step 5: Solve for x
    x = 50,901,661,826.42/257,804.64
  6. Step 6: Final answer
    x = 197,442.77

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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.