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Finding the Fourth Proportional to 275,829.84, 380,683.56 and 154,980.48

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Solution

The fourth proportional to 275,829.84, 380,683.56 and 154,980.48 is: 213,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,829.84 : 380,683.56 = 154,980.48 : x
  2. Step 2: Convert to fraction form
    275,829.84/380,683.56 = 154,980.48/x
  3. Step 3: Cross multiply
    275,829.84x = 380,683.56 × 154,980.48
  4. Step 4: Simplify right side
    275,829.84x = 58,998,520,856.91
  5. Step 5: Solve for x
    x = 58,998,520,856.91/275,829.84
  6. Step 6: Final answer
    x = 213,894.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.