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Finding the Fourth Proportional to 1,396,440, 2,094,660 and 509,976

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Solution

The fourth proportional to 1,396,440, 2,094,660 and 509,976 is: 764,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,440 : 2,094,660 = 509,976 : x
  2. Step 2: Convert to fraction form
    1,396,440/2,094,660 = 509,976/x
  3. Step 3: Cross multiply
    1,396,440x = 2,094,660 × 509,976
  4. Step 4: Simplify right side
    1,396,440x = 1,068,226,328,160
  5. Step 5: Solve for x
    x = 1,068,226,328,160/1,396,440
  6. Step 6: Final answer
    x = 764,964

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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.