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Finding the Fourth Proportional to 257,651.93, 386,296.81 and 113,489.34

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Solution

The fourth proportional to 257,651.93, 386,296.81 and 113,489.34 is: 170,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,651.93 : 386,296.81 = 113,489.34 : x
  2. Step 2: Convert to fraction form
    257,651.93/386,296.81 = 113,489.34/x
  3. Step 3: Cross multiply
    257,651.93x = 386,296.81 × 113,489.34
  4. Step 4: Simplify right side
    257,651.93x = 43,840,570,011.01
  5. Step 5: Solve for x
    x = 43,840,570,011.01/257,651.93
  6. Step 6: Final answer
    x = 170,154.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.