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Finding the Fourth Proportional to 215,656.80, 323,485.20 and 196,303.20

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Solution

The fourth proportional to 215,656.80, 323,485.20 and 196,303.20 is: 294,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,656.80 : 323,485.20 = 196,303.20 : x
  2. Step 2: Convert to fraction form
    215,656.80/323,485.20 = 196,303.20/x
  3. Step 3: Cross multiply
    215,656.80x = 323,485.20 × 196,303.20
  4. Step 4: Simplify right side
    215,656.80x = 63,501,179,912.64
  5. Step 5: Solve for x
    x = 63,501,179,912.64/215,656.80
  6. Step 6: Final answer
    x = 294,454.80

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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.