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Finding the Fourth Proportional to 257,034.58, 354,718.80 and 142,313.22

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Solution

The fourth proportional to 257,034.58, 354,718.80 and 142,313.22 is: 196,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,034.58 : 354,718.80 = 142,313.22 : x
  2. Step 2: Convert to fraction form
    257,034.58/354,718.80 = 142,313.22/x
  3. Step 3: Cross multiply
    257,034.58x = 354,718.80 × 142,313.22
  4. Step 4: Simplify right side
    257,034.58x = 50,481,174,622.54
  5. Step 5: Solve for x
    x = 50,481,174,622.54/257,034.58
  6. Step 6: Final answer
    x = 196,398.38

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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.