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Finding the Fourth Proportional to 305,955.80, 422,228.40 and 185,119.28

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Solution

The fourth proportional to 305,955.80, 422,228.40 and 185,119.28 is: 255,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,955.80 : 422,228.40 = 185,119.28 : x
  2. Step 2: Convert to fraction form
    305,955.80/422,228.40 = 185,119.28/x
  3. Step 3: Cross multiply
    305,955.80x = 422,228.40 × 185,119.28
  4. Step 4: Simplify right side
    305,955.80x = 78,162,617,403.55
  5. Step 5: Solve for x
    x = 78,162,617,403.55/305,955.80
  6. Step 6: Final answer
    x = 255,470.29

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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.