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Finding the Fourth Proportional to 209,169, 289,413.20 and 182,367.32

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Solution

The fourth proportional to 209,169, 289,413.20 and 182,367.32 is: 252,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169 : 289,413.20 = 182,367.32 : x
  2. Step 2: Convert to fraction form
    209,169/289,413.20 = 182,367.32/x
  3. Step 3: Cross multiply
    209,169x = 289,413.20 × 182,367.32
  4. Step 4: Simplify right side
    209,169x = 52,779,508,665.48
  5. Step 5: Solve for x
    x = 52,779,508,665.48/209,169
  6. Step 6: Final answer
    x = 252,329.50

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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.