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Finding the Fourth Proportional to 254,166.84, 380,649.09 and 220,705.05

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Solution

The fourth proportional to 254,166.84, 380,649.09 and 220,705.05 is: 330,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,166.84 : 380,649.09 = 220,705.05 : x
  2. Step 2: Convert to fraction form
    254,166.84/380,649.09 = 220,705.05/x
  3. Step 3: Cross multiply
    254,166.84x = 380,649.09 × 220,705.05
  4. Step 4: Simplify right side
    254,166.84x = 84,011,176,440.90
  5. Step 5: Solve for x
    x = 84,011,176,440.90/254,166.84
  6. Step 6: Final answer
    x = 330,535.55

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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.