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Finding the Fourth Proportional to 257,042.29, 354,693.72 and 142,316.73

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Solution

The fourth proportional to 257,042.29, 354,693.72 and 142,316.73 is: 196,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042.29 : 354,693.72 = 142,316.73 : x
  2. Step 2: Convert to fraction form
    257,042.29/354,693.72 = 142,316.73/x
  3. Step 3: Cross multiply
    257,042.29x = 354,693.72 × 142,316.73
  4. Step 4: Simplify right side
    257,042.29x = 50,478,848,608.47
  5. Step 5: Solve for x
    x = 50,478,848,608.47/257,042.29
  6. Step 6: Final answer
    x = 196,383.44

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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.