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Finding the Fourth Proportional to 208,768.98, 287,703.45 and 204,930.30

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Solution

The fourth proportional to 208,768.98, 287,703.45 and 204,930.30 is: 282,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,768.98 : 287,703.45 = 204,930.30 : x
  2. Step 2: Convert to fraction form
    208,768.98/287,703.45 = 204,930.30/x
  3. Step 3: Cross multiply
    208,768.98x = 287,703.45 × 204,930.30
  4. Step 4: Simplify right side
    208,768.98x = 58,959,154,319.54
  5. Step 5: Solve for x
    x = 58,959,154,319.54/208,768.98
  6. Step 6: Final answer
    x = 282,413.38

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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.