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Finding the Fourth Proportional to 289,413.84, 431,554.38 and 270,109.92

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Solution

The fourth proportional to 289,413.84, 431,554.38 and 270,109.92 is: 402,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,413.84 : 431,554.38 = 270,109.92 : x
  2. Step 2: Convert to fraction form
    289,413.84/431,554.38 = 270,109.92/x
  3. Step 3: Cross multiply
    289,413.84x = 431,554.38 × 270,109.92
  4. Step 4: Simplify right side
    289,413.84x = 116,567,119,057.45
  5. Step 5: Solve for x
    x = 116,567,119,057.45/289,413.84
  6. Step 6: Final answer
    x = 402,769.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.