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Finding the Fourth Proportional to 1,311,314.63, 1,964,797.47 and 797,425.30

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Solution

The fourth proportional to 1,311,314.63, 1,964,797.47 and 797,425.30 is: 1,194,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,314.63 : 1,964,797.47 = 797,425.30 : x
  2. Step 2: Convert to fraction form
    1,311,314.63/1,964,797.47 = 797,425.30/x
  3. Step 3: Cross multiply
    1,311,314.63x = 1,964,797.47 × 797,425.30
  4. Step 4: Simplify right side
    1,311,314.63x = 1,566,779,207,264.27
  5. Step 5: Solve for x
    x = 1,566,779,207,264.27/1,311,314.63
  6. Step 6: Final answer
    x = 1,194,815.62

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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.