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Finding the Fourth Proportional to 254,163.84, 380,644.59 and 220,702.05

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Solution

The fourth proportional to 254,163.84, 380,644.59 and 220,702.05 is: 330,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,163.84 : 380,644.59 = 220,702.05 : x
  2. Step 2: Convert to fraction form
    254,163.84/380,644.59 = 220,702.05/x
  3. Step 3: Cross multiply
    254,163.84x = 380,644.59 × 220,702.05
  4. Step 4: Simplify right side
    254,163.84x = 84,009,041,334.41
  5. Step 5: Solve for x
    x = 84,009,041,334.41/254,163.84
  6. Step 6: Final answer
    x = 330,531.05

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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.