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Finding the Fourth Proportional to 254,706.39, 381,477.78 and 121,680.90

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Solution

The fourth proportional to 254,706.39, 381,477.78 and 121,680.90 is: 182,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,706.39 : 381,477.78 = 121,680.90 : x
  2. Step 2: Convert to fraction form
    254,706.39/381,477.78 = 121,680.90/x
  3. Step 3: Cross multiply
    254,706.39x = 381,477.78 × 121,680.90
  4. Step 4: Simplify right side
    254,706.39x = 46,418,559,600.40
  5. Step 5: Solve for x
    x = 46,418,559,600.40/254,706.39
  6. Step 6: Final answer
    x = 182,243.40

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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.