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Finding the Fourth Proportional to 209,800.48, 289,514.64 and 119,144.48

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Solution

The fourth proportional to 209,800.48, 289,514.64 and 119,144.48 is: 164,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,800.48 : 289,514.64 = 119,144.48 : x
  2. Step 2: Convert to fraction form
    209,800.48/289,514.64 = 119,144.48/x
  3. Step 3: Cross multiply
    209,800.48x = 289,514.64 × 119,144.48
  4. Step 4: Simplify right side
    209,800.48x = 34,494,071,235.19
  5. Step 5: Solve for x
    x = 34,494,071,235.19/209,800.48
  6. Step 6: Final answer
    x = 164,413.69

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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.