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Finding the Fourth Proportional to 257,202.12, 354,935.06 and 142,480.40

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Solution

The fourth proportional to 257,202.12, 354,935.06 and 142,480.40 is: 196,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202.12 : 354,935.06 = 142,480.40 : x
  2. Step 2: Convert to fraction form
    257,202.12/354,935.06 = 142,480.40/x
  3. Step 3: Cross multiply
    257,202.12x = 354,935.06 × 142,480.40
  4. Step 4: Simplify right side
    257,202.12x = 50,571,289,322.82
  5. Step 5: Solve for x
    x = 50,571,289,322.82/257,202.12
  6. Step 6: Final answer
    x = 196,620.81

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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.