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Finding the Fourth Proportional to 200,445.73, 300,723.95 and 178,413.07

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Solution

The fourth proportional to 200,445.73, 300,723.95 and 178,413.07 is: 267,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,445.73 : 300,723.95 = 178,413.07 : x
  2. Step 2: Convert to fraction form
    200,445.73/300,723.95 = 178,413.07/x
  3. Step 3: Cross multiply
    200,445.73x = 300,723.95 × 178,413.07
  4. Step 4: Simplify right side
    200,445.73x = 53,653,081,638.41
  5. Step 5: Solve for x
    x = 53,653,081,638.41/200,445.73
  6. Step 6: Final answer
    x = 267,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.