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Finding the Fourth Proportional to 420,496.36, 580,413.72 and 259,401.64

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Solution

The fourth proportional to 420,496.36, 580,413.72 and 259,401.64 is: 358,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,496.36 : 580,413.72 = 259,401.64 : x
  2. Step 2: Convert to fraction form
    420,496.36/580,413.72 = 259,401.64/x
  3. Step 3: Cross multiply
    420,496.36x = 580,413.72 × 259,401.64
  4. Step 4: Simplify right side
    420,496.36x = 150,560,270,846.50
  5. Step 5: Solve for x
    x = 150,560,270,846.50/420,496.36
  6. Step 6: Final answer
    x = 358,053.68

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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.