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Finding the Fourth Proportional to 403,728.81, 605,413.24 and 214,146.03

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Solution

The fourth proportional to 403,728.81, 605,413.24 and 214,146.03 is: 321,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,728.81 : 605,413.24 = 214,146.03 : x
  2. Step 2: Convert to fraction form
    403,728.81/605,413.24 = 214,146.03/x
  3. Step 3: Cross multiply
    403,728.81x = 605,413.24 × 214,146.03
  4. Step 4: Simplify right side
    403,728.81x = 129,646,841,855.44
  5. Step 5: Solve for x
    x = 129,646,841,855.44/403,728.81
  6. Step 6: Final answer
    x = 321,123.58

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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.