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Finding the Fourth Proportional to 261,059.82, 360,327.90 and 160,399.50

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Solution

The fourth proportional to 261,059.82, 360,327.90 and 160,399.50 is: 221,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,059.82 : 360,327.90 = 160,399.50 : x
  2. Step 2: Convert to fraction form
    261,059.82/360,327.90 = 160,399.50/x
  3. Step 3: Cross multiply
    261,059.82x = 360,327.90 × 160,399.50
  4. Step 4: Simplify right side
    261,059.82x = 57,796,414,996.05
  5. Step 5: Solve for x
    x = 57,796,414,996.05/261,059.82
  6. Step 6: Final answer
    x = 221,391.46

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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.