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Finding the Fourth Proportional to 260,449.38, 390,415.43 and 147,896.64

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Solution

The fourth proportional to 260,449.38, 390,415.43 and 147,896.64 is: 221,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,449.38 : 390,415.43 = 147,896.64 : x
  2. Step 2: Convert to fraction form
    260,449.38/390,415.43 = 147,896.64/x
  3. Step 3: Cross multiply
    260,449.38x = 390,415.43 × 147,896.64
  4. Step 4: Simplify right side
    260,449.38x = 57,741,129,561.67
  5. Step 5: Solve for x
    x = 57,741,129,561.67/260,449.38
  6. Step 6: Final answer
    x = 221,698.09

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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.