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Finding the Fourth Proportional to 301,278.16, 451,905.88 and 90,910.48

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Solution

The fourth proportional to 301,278.16, 451,905.88 and 90,910.48 is: 136,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,278.16 : 451,905.88 = 90,910.48 : x
  2. Step 2: Convert to fraction form
    301,278.16/451,905.88 = 90,910.48/x
  3. Step 3: Cross multiply
    301,278.16x = 451,905.88 × 90,910.48
  4. Step 4: Simplify right side
    301,278.16x = 41,082,980,465.62
  5. Step 5: Solve for x
    x = 41,082,980,465.62/301,278.16
  6. Step 6: Final answer
    x = 136,362.29

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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.