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Finding the Fourth Proportional to 275,667, 380,392.10 and 154,807.31

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Solution

The fourth proportional to 275,667, 380,392.10 and 154,807.31 is: 213,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,667 : 380,392.10 = 154,807.31 : x
  2. Step 2: Convert to fraction form
    275,667/380,392.10 = 154,807.31/x
  3. Step 3: Cross multiply
    275,667x = 380,392.10 × 154,807.31
  4. Step 4: Simplify right side
    275,667x = 58,887,477,746.25
  5. Step 5: Solve for x
    x = 58,887,477,746.25/275,667
  6. Step 6: Final answer
    x = 213,618.16

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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.