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Finding the Fourth Proportional to 274,465.72, 411,273.54 and 190,389.40

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Solution

The fourth proportional to 274,465.72, 411,273.54 and 190,389.40 is: 285,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,465.72 : 411,273.54 = 190,389.40 : x
  2. Step 2: Convert to fraction form
    274,465.72/411,273.54 = 190,389.40/x
  3. Step 3: Cross multiply
    274,465.72x = 411,273.54 × 190,389.40
  4. Step 4: Simplify right side
    274,465.72x = 78,302,122,516.48
  5. Step 5: Solve for x
    x = 78,302,122,516.48/274,465.72
  6. Step 6: Final answer
    x = 285,289.26

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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.