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Finding the Fourth Proportional to 1,198,833, 1,798,249.50 and 312,369

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Solution

The fourth proportional to 1,198,833, 1,798,249.50 and 312,369 is: 468,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,833 : 1,798,249.50 = 312,369 : x
  2. Step 2: Convert to fraction form
    1,198,833/1,798,249.50 = 312,369/x
  3. Step 3: Cross multiply
    1,198,833x = 1,798,249.50 × 312,369
  4. Step 4: Simplify right side
    1,198,833x = 561,717,398,065.50
  5. Step 5: Solve for x
    x = 561,717,398,065.50/1,198,833
  6. Step 6: Final answer
    x = 468,553.50

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1.5x scale

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.