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Finding the Fourth Proportional to 309,298, 463,947 and 75,826

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Solution

The fourth proportional to 309,298, 463,947 and 75,826 is: 113,739

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,298 : 463,947 = 75,826 : x
  2. Step 2: Convert to fraction form
    309,298/463,947 = 75,826/x
  3. Step 3: Cross multiply
    309,298x = 463,947 × 75,826
  4. Step 4: Simplify right side
    309,298x = 35,179,245,222
  5. Step 5: Solve for x
    x = 35,179,245,222/309,298
  6. Step 6: Final answer
    x = 113,739

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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.