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Finding the Fourth Proportional to 412,413.30, 618,619.95 and 318,986.10

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Solution

The fourth proportional to 412,413.30, 618,619.95 and 318,986.10 is: 478,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,413.30 : 618,619.95 = 318,986.10 : x
  2. Step 2: Convert to fraction form
    412,413.30/618,619.95 = 318,986.10/x
  3. Step 3: Cross multiply
    412,413.30x = 618,619.95 × 318,986.10
  4. Step 4: Simplify right side
    412,413.30x = 197,331,165,232.70
  5. Step 5: Solve for x
    x = 197,331,165,232.70/412,413.30
  6. Step 6: Final answer
    x = 478,479.15

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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.