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Finding the Fourth Proportional to 309,345, 464,017.50 and 75,873

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Solution

The fourth proportional to 309,345, 464,017.50 and 75,873 is: 113,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,345 : 464,017.50 = 75,873 : x
  2. Step 2: Convert to fraction form
    309,345/464,017.50 = 75,873/x
  3. Step 3: Cross multiply
    309,345x = 464,017.50 × 75,873
  4. Step 4: Simplify right side
    309,345x = 35,206,399,777.50
  5. Step 5: Solve for x
    x = 35,206,399,777.50/309,345
  6. Step 6: Final answer
    x = 113,809.50

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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.