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Finding the Fourth Proportional to 1,578,264, 2,178,012 and 862,872

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Solution

The fourth proportional to 1,578,264, 2,178,012 and 862,872 is: 1,190,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,264 : 2,178,012 = 862,872 : x
  2. Step 2: Convert to fraction form
    1,578,264/2,178,012 = 862,872/x
  3. Step 3: Cross multiply
    1,578,264x = 2,178,012 × 862,872
  4. Step 4: Simplify right side
    1,578,264x = 1,879,345,570,464
  5. Step 5: Solve for x
    x = 1,879,345,570,464/1,578,264
  6. Step 6: Final answer
    x = 1,190,767.56

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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.