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Finding the Fourth Proportional to 420,413.82, 580,019.22 and 323,647.26

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Solution

The fourth proportional to 420,413.82, 580,019.22 and 323,647.26 is: 446,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,413.82 : 580,019.22 = 323,647.26 : x
  2. Step 2: Convert to fraction form
    420,413.82/580,019.22 = 323,647.26/x
  3. Step 3: Cross multiply
    420,413.82x = 580,019.22 × 323,647.26
  4. Step 4: Simplify right side
    420,413.82x = 187,721,631,300.34
  5. Step 5: Solve for x
    x = 187,721,631,300.34/420,413.82
  6. Step 6: Final answer
    x = 446,516.32

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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.