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Finding the Fourth Proportional to 215,998.80, 322,961.40 and 160,011.60

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Solution

The fourth proportional to 215,998.80, 322,961.40 and 160,011.60 is: 239,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,998.80 : 322,961.40 = 160,011.60 : x
  2. Step 2: Convert to fraction form
    215,998.80/322,961.40 = 160,011.60/x
  3. Step 3: Cross multiply
    215,998.80x = 322,961.40 × 160,011.60
  4. Step 4: Simplify right side
    215,998.80x = 51,677,570,352.24
  5. Step 5: Solve for x
    x = 51,677,570,352.24/215,998.80
  6. Step 6: Final answer
    x = 239,249.34

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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.