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Finding the Fourth Proportional to 310,107.71, 427,995.48 and 189,319.43

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Solution

The fourth proportional to 310,107.71, 427,995.48 and 189,319.43 is: 261,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,107.71 : 427,995.48 = 189,319.43 : x
  2. Step 2: Convert to fraction form
    310,107.71/427,995.48 = 189,319.43/x
  3. Step 3: Cross multiply
    310,107.71x = 427,995.48 × 189,319.43
  4. Step 4: Simplify right side
    310,107.71x = 81,027,858,176.20
  5. Step 5: Solve for x
    x = 81,027,858,176.20/310,107.71
  6. Step 6: Final answer
    x = 261,289.41

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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.