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Finding the Fourth Proportional to 213,656.28, 320,258.40 and 80,478.90

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Solution

The fourth proportional to 213,656.28, 320,258.40 and 80,478.90 is: 120,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,656.28 : 320,258.40 = 80,478.90 : x
  2. Step 2: Convert to fraction form
    213,656.28/320,258.40 = 80,478.90/x
  3. Step 3: Cross multiply
    213,656.28x = 320,258.40 × 80,478.90
  4. Step 4: Simplify right side
    213,656.28x = 25,774,043,747.76
  5. Step 5: Solve for x
    x = 25,774,043,747.76/213,656.28
  6. Step 6: Final answer
    x = 120,633.21

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1.5x scale

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.