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Finding the Fourth Proportional to 1,198,832, 1,798,248 and 312,368

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Solution

The fourth proportional to 1,198,832, 1,798,248 and 312,368 is: 468,552

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,832 : 1,798,248 = 312,368 : x
  2. Step 2: Convert to fraction form
    1,198,832/1,798,248 = 312,368/x
  3. Step 3: Cross multiply
    1,198,832x = 1,798,248 × 312,368
  4. Step 4: Simplify right side
    1,198,832x = 561,715,131,264
  5. Step 5: Solve for x
    x = 561,715,131,264/1,198,832
  6. Step 6: Final answer
    x = 468,552

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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.