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Finding the Fourth Proportional to 494,354.27, 682,214.27 and 290,413.79

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Solution

The fourth proportional to 494,354.27, 682,214.27 and 290,413.79 is: 400,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,354.27 : 682,214.27 = 290,413.79 : x
  2. Step 2: Convert to fraction form
    494,354.27/682,214.27 = 290,413.79/x
  3. Step 3: Cross multiply
    494,354.27x = 682,214.27 × 290,413.79
  4. Step 4: Simplify right side
    494,354.27x = 198,124,426,879.64
  5. Step 5: Solve for x
    x = 198,124,426,879.64/494,354.27
  6. Step 6: Final answer
    x = 400,774.18

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1.5x scale

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.