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Finding the Fourth Proportional to 275,460.16, 380,138 and 152,960.64

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Solution

The fourth proportional to 275,460.16, 380,138 and 152,960.64 is: 211,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,460.16 : 380,138 = 152,960.64 : x
  2. Step 2: Convert to fraction form
    275,460.16/380,138 = 152,960.64/x
  3. Step 3: Cross multiply
    275,460.16x = 380,138 × 152,960.64
  4. Step 4: Simplify right side
    275,460.16x = 58,146,151,768.32
  5. Step 5: Solve for x
    x = 58,146,151,768.32/275,460.16
  6. Step 6: Final answer
    x = 211,087.34

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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.