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Finding the Fourth Proportional to 277,090.23, 414,884.59 and 143,690.75

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Solution

The fourth proportional to 277,090.23, 414,884.59 and 143,690.75 is: 215,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,090.23 : 414,884.59 = 143,690.75 : x
  2. Step 2: Convert to fraction form
    277,090.23/414,884.59 = 143,690.75/x
  3. Step 3: Cross multiply
    277,090.23x = 414,884.59 × 143,690.75
  4. Step 4: Simplify right side
    277,090.23x = 59,615,078,578.53
  5. Step 5: Solve for x
    x = 59,615,078,578.53/277,090.23
  6. Step 6: Final answer
    x = 215,146.81

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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.