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Finding the Fourth Proportional to 314,662.09, 434,238.39 and 171,422.09

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Solution

The fourth proportional to 314,662.09, 434,238.39 and 171,422.09 is: 236,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,662.09 : 434,238.39 = 171,422.09 : x
  2. Step 2: Convert to fraction form
    314,662.09/434,238.39 = 171,422.09/x
  3. Step 3: Cross multiply
    314,662.09x = 434,238.39 × 171,422.09
  4. Step 4: Simplify right side
    314,662.09x = 74,438,052,372.04
  5. Step 5: Solve for x
    x = 74,438,052,372.04/314,662.09
  6. Step 6: Final answer
    x = 236,565.05

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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.