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Finding the Fourth Proportional to 257,840.52, 355,822.65 and 143,121.30

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Solution

The fourth proportional to 257,840.52, 355,822.65 and 143,121.30 is: 197,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,840.52 : 355,822.65 = 143,121.30 : x
  2. Step 2: Convert to fraction form
    257,840.52/355,822.65 = 143,121.30/x
  3. Step 3: Cross multiply
    257,840.52x = 355,822.65 × 143,121.30
  4. Step 4: Simplify right side
    257,840.52x = 50,925,800,237.45
  5. Step 5: Solve for x
    x = 50,925,800,237.45/257,840.52
  6. Step 6: Final answer
    x = 197,508.91

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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.