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Finding the Fourth Proportional to 257,955.37, 355,973.40 and 143,228.05

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Solution

The fourth proportional to 257,955.37, 355,973.40 and 143,228.05 is: 197,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,955.37 : 355,973.40 = 143,228.05 : x
  2. Step 2: Convert to fraction form
    257,955.37/355,973.40 = 143,228.05/x
  3. Step 3: Cross multiply
    257,955.37x = 355,973.40 × 143,228.05
  4. Step 4: Simplify right side
    257,955.37x = 50,985,375,043.94
  5. Step 5: Solve for x
    x = 50,985,375,043.94/257,955.37
  6. Step 6: Final answer
    x = 197,651.93

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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.