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Finding the Fourth Proportional to 1,412,964.04, 1,949,941.80 and 809,468.68

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Solution

The fourth proportional to 1,412,964.04, 1,949,941.80 and 809,468.68 is: 1,117,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,964.04 : 1,949,941.80 = 809,468.68 : x
  2. Step 2: Convert to fraction form
    1,412,964.04/1,949,941.80 = 809,468.68/x
  3. Step 3: Cross multiply
    1,412,964.04x = 1,949,941.80 × 809,468.68
  4. Step 4: Simplify right side
    1,412,964.04x = 1,578,416,814,922.82
  5. Step 5: Solve for x
    x = 1,578,416,814,922.82/1,412,964.04
  6. Step 6: Final answer
    x = 1,117,096.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.