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Finding the Fourth Proportional to 257,434.44, 355,241.61 and 142,711.98

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Solution

The fourth proportional to 257,434.44, 355,241.61 and 142,711.98 is: 196,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,434.44 : 355,241.61 = 142,711.98 : x
  2. Step 2: Convert to fraction form
    257,434.44/355,241.61 = 142,711.98/x
  3. Step 3: Cross multiply
    257,434.44x = 355,241.61 × 142,711.98
  4. Step 4: Simplify right side
    257,434.44x = 50,697,233,541.49
  5. Step 5: Solve for x
    x = 50,697,233,541.49/257,434.44
  6. Step 6: Final answer
    x = 196,932.60

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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.