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Finding the Fourth Proportional to 1,381,567, 2,072,467.16 and 384,295

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Solution

The fourth proportional to 1,381,567, 2,072,467.16 and 384,295 is: 576,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,567 : 2,072,467.16 = 384,295 : x
  2. Step 2: Convert to fraction form
    1,381,567/2,072,467.16 = 384,295/x
  3. Step 3: Cross multiply
    1,381,567x = 2,072,467.16 × 384,295
  4. Step 4: Simplify right side
    1,381,567x = 796,438,767,252.20
  5. Step 5: Solve for x
    x = 796,438,767,252.20/1,381,567
  6. Step 6: Final answer
    x = 576,474.95

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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.