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Finding the Fourth Proportional to 1,809,974.14, 2,710,827.78 and 864,009.16

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Solution

The fourth proportional to 1,809,974.14, 2,710,827.78 and 864,009.16 is: 1,294,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,974.14 : 2,710,827.78 = 864,009.16 : x
  2. Step 2: Convert to fraction form
    1,809,974.14/2,710,827.78 = 864,009.16/x
  3. Step 3: Cross multiply
    1,809,974.14x = 2,710,827.78 × 864,009.16
  4. Step 4: Simplify right side
    1,809,974.14x = 2,342,180,033,102.47
  5. Step 5: Solve for x
    x = 2,342,180,033,102.47/1,809,974.14
  6. Step 6: Final answer
    x = 1,294,040.61

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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.