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Finding the Fourth Proportional to 303,068.08, 418,413.14 and 269,441

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Solution

The fourth proportional to 303,068.08, 418,413.14 and 269,441 is: 371,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,068.08 : 418,413.14 = 269,441 : x
  2. Step 2: Convert to fraction form
    303,068.08/418,413.14 = 269,441/x
  3. Step 3: Cross multiply
    303,068.08x = 418,413.14 × 269,441
  4. Step 4: Simplify right side
    303,068.08x = 112,737,654,854.74
  5. Step 5: Solve for x
    x = 112,737,654,854.74/303,068.08
  6. Step 6: Final answer
    x = 371,987.89

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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.