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Finding the Fourth Proportional to 489,833.75, 734,365.62 and 309,539.97

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Solution

The fourth proportional to 489,833.75, 734,365.62 and 309,539.97 is: 464,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,833.75 : 734,365.62 = 309,539.97 : x
  2. Step 2: Convert to fraction form
    489,833.75/734,365.62 = 309,539.97/x
  3. Step 3: Cross multiply
    489,833.75x = 734,365.62 × 309,539.97
  4. Step 4: Simplify right side
    489,833.75x = 227,315,514,545.32
  5. Step 5: Solve for x
    x = 227,315,514,545.32/489,833.75
  6. Step 6: Final answer
    x = 464,066.66

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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.