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Finding the Fourth Proportional to 257,449.67, 355,301.50 and 142,764.26

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Solution

The fourth proportional to 257,449.67, 355,301.50 and 142,764.26 is: 197,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,449.67 : 355,301.50 = 142,764.26 : x
  2. Step 2: Convert to fraction form
    257,449.67/355,301.50 = 142,764.26/x
  3. Step 3: Cross multiply
    257,449.67x = 355,301.50 × 142,764.26
  4. Step 4: Simplify right side
    257,449.67x = 50,724,355,724.39
  5. Step 5: Solve for x
    x = 50,724,355,724.39/257,449.67
  6. Step 6: Final answer
    x = 197,026.30

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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.