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Finding the Fourth Proportional to 257,142.62, 354,848.97 and 142,416.71

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Solution

The fourth proportional to 257,142.62, 354,848.97 and 142,416.71 is: 196,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142.62 : 354,848.97 = 142,416.71 : x
  2. Step 2: Convert to fraction form
    257,142.62/354,848.97 = 142,416.71/x
  3. Step 3: Cross multiply
    257,142.62x = 354,848.97 × 142,416.71
  4. Step 4: Simplify right side
    257,142.62x = 50,536,422,854.29
  5. Step 5: Solve for x
    x = 50,536,422,854.29/257,142.62
  6. Step 6: Final answer
    x = 196,530.71

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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.