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Finding the Fourth Proportional to 390,171.89, 585,268.23 and 137,394.93

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Solution

The fourth proportional to 390,171.89, 585,268.23 and 137,394.93 is: 206,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,171.89 : 585,268.23 = 137,394.93 : x
  2. Step 2: Convert to fraction form
    390,171.89/585,268.23 = 137,394.93/x
  3. Step 3: Cross multiply
    390,171.89x = 585,268.23 × 137,394.93
  4. Step 4: Simplify right side
    390,171.89x = 80,412,890,202.06
  5. Step 5: Solve for x
    x = 80,412,890,202.06/390,171.89
  6. Step 6: Final answer
    x = 206,096.06

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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.