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Finding the Fourth Proportional to 310,090.60, 427,971.63 and 189,302.05

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Solution

The fourth proportional to 310,090.60, 427,971.63 and 189,302.05 is: 261,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,090.60 : 427,971.63 = 189,302.05 : x
  2. Step 2: Convert to fraction form
    310,090.60/427,971.63 = 189,302.05/x
  3. Step 3: Cross multiply
    310,090.60x = 427,971.63 × 189,302.05
  4. Step 4: Simplify right side
    310,090.60x = 81,015,906,900.84
  5. Step 5: Solve for x
    x = 81,015,906,900.84/310,090.60
  6. Step 6: Final answer
    x = 261,265.28

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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.