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Finding the Fourth Proportional to 2,774,400, 4,161,600 and 779,856

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Solution

The fourth proportional to 2,774,400, 4,161,600 and 779,856 is: 1,169,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,400 : 4,161,600 = 779,856 : x
  2. Step 2: Convert to fraction form
    2,774,400/4,161,600 = 779,856/x
  3. Step 3: Cross multiply
    2,774,400x = 4,161,600 × 779,856
  4. Step 4: Simplify right side
    2,774,400x = 3,245,448,729,600
  5. Step 5: Solve for x
    x = 3,245,448,729,600/2,774,400
  6. Step 6: Final answer
    x = 1,169,784

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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.