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Finding the Fourth Proportional to 270,415.40, 405,633.22 and 80,878.23

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Solution

The fourth proportional to 270,415.40, 405,633.22 and 80,878.23 is: 121,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,415.40 : 405,633.22 = 80,878.23 : x
  2. Step 2: Convert to fraction form
    270,415.40/405,633.22 = 80,878.23/x
  3. Step 3: Cross multiply
    270,415.40x = 405,633.22 × 80,878.23
  4. Step 4: Simplify right side
    270,415.40x = 32,806,896,660.61
  5. Step 5: Solve for x
    x = 32,806,896,660.61/270,415.40
  6. Step 6: Final answer
    x = 121,320.37

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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.