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Finding the Fourth Proportional to 257,353.70, 355,138.44 and 142,634.30

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Solution

The fourth proportional to 257,353.70, 355,138.44 and 142,634.30 is: 196,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,353.70 : 355,138.44 = 142,634.30 : x
  2. Step 2: Convert to fraction form
    257,353.70/355,138.44 = 142,634.30/x
  3. Step 3: Cross multiply
    257,353.70x = 355,138.44 × 142,634.30
  4. Step 4: Simplify right side
    257,353.70x = 50,654,922,792.49
  5. Step 5: Solve for x
    x = 50,654,922,792.49/257,353.70
  6. Step 6: Final answer
    x = 196,829.98

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1.5x scale

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.