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Finding the Fourth Proportional to 403,590.73, 605,413.77 and 133,718.34

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Solution

The fourth proportional to 403,590.73, 605,413.77 and 133,718.34 is: 200,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,590.73 : 605,413.77 = 133,718.34 : x
  2. Step 2: Convert to fraction form
    403,590.73/605,413.77 = 133,718.34/x
  3. Step 3: Cross multiply
    403,590.73x = 605,413.77 × 133,718.34
  4. Step 4: Simplify right side
    403,590.73x = 80,954,926,482.48
  5. Step 5: Solve for x
    x = 80,954,926,482.48/403,590.73
  6. Step 6: Final answer
    x = 200,586.69

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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.