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Finding the Fourth Proportional to 1,786,786.54, 2,678,994.98 and 649,413.70

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Solution

The fourth proportional to 1,786,786.54, 2,678,994.98 and 649,413.70 is: 973,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,786.54 : 2,678,994.98 = 649,413.70 : x
  2. Step 2: Convert to fraction form
    1,786,786.54/2,678,994.98 = 649,413.70/x
  3. Step 3: Cross multiply
    1,786,786.54x = 2,678,994.98 × 649,413.70
  4. Step 4: Simplify right side
    1,786,786.54x = 1,739,776,034,733.97
  5. Step 5: Solve for x
    x = 1,739,776,034,733.97/1,786,786.54
  6. Step 6: Final answer
    x = 973,689.92

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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.