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Finding the Fourth Proportional to 1,965,670.57, 2,949,852.47 and 686,278.20

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Solution

The fourth proportional to 1,965,670.57, 2,949,852.47 and 686,278.20 is: 1,029,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,670.57 : 2,949,852.47 = 686,278.20 : x
  2. Step 2: Convert to fraction form
    1,965,670.57/2,949,852.47 = 686,278.20/x
  3. Step 3: Cross multiply
    1,965,670.57x = 2,949,852.47 × 686,278.20
  4. Step 4: Simplify right side
    1,965,670.57x = 2,024,419,451,007.71
  5. Step 5: Solve for x
    x = 2,024,419,451,007.71/1,965,670.57
  6. Step 6: Final answer
    x = 1,029,887.45

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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.