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Finding the Fourth Proportional to 257,423.94, 355,227.12 and 142,701.48

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Solution

The fourth proportional to 257,423.94, 355,227.12 and 142,701.48 is: 196,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,423.94 : 355,227.12 = 142,701.48 : x
  2. Step 2: Convert to fraction form
    257,423.94/355,227.12 = 142,701.48/x
  3. Step 3: Cross multiply
    257,423.94x = 355,227.12 × 142,701.48
  4. Step 4: Simplify right side
    257,423.94x = 50,691,435,760.14
  5. Step 5: Solve for x
    x = 50,691,435,760.14/257,423.94
  6. Step 6: Final answer
    x = 196,918.11

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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.