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Finding the Fourth Proportional to 257,351, 355,158.54 and 142,627.26

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Solution

The fourth proportional to 257,351, 355,158.54 and 142,627.26 is: 196,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,351 : 355,158.54 = 142,627.26 : x
  2. Step 2: Convert to fraction form
    257,351/355,158.54 = 142,627.26/x
  3. Step 3: Cross multiply
    257,351x = 355,158.54 × 142,627.26
  4. Step 4: Simplify right side
    257,351x = 50,655,289,425.80
  5. Step 5: Solve for x
    x = 50,655,289,425.80/257,351
  6. Step 6: Final answer
    x = 196,833.47

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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.