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Finding the Fourth Proportional to 1,396,442, 2,094,663 and 509,978

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Solution

The fourth proportional to 1,396,442, 2,094,663 and 509,978 is: 764,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,442 : 2,094,663 = 509,978 : x
  2. Step 2: Convert to fraction form
    1,396,442/2,094,663 = 509,978/x
  3. Step 3: Cross multiply
    1,396,442x = 2,094,663 × 509,978
  4. Step 4: Simplify right side
    1,396,442x = 1,068,232,047,414
  5. Step 5: Solve for x
    x = 1,068,232,047,414/1,396,442
  6. Step 6: Final answer
    x = 764,967

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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.