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Finding the Fourth Proportional to 390,185.90, 585,325.73 and 137,414.16

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Solution

The fourth proportional to 390,185.90, 585,325.73 and 137,414.16 is: 206,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,185.90 : 585,325.73 = 137,414.16 : x
  2. Step 2: Convert to fraction form
    390,185.90/585,325.73 = 137,414.16/x
  3. Step 3: Cross multiply
    390,185.90x = 585,325.73 × 137,414.16
  4. Step 4: Simplify right side
    390,185.90x = 80,432,042,827.27
  5. Step 5: Solve for x
    x = 80,432,042,827.27/390,185.90
  6. Step 6: Final answer
    x = 206,137.75

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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.