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Finding the Fourth Proportional to 299,994, 450,014.90 and 100,315.64

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Solution

The fourth proportional to 299,994, 450,014.90 and 100,315.64 is: 150,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,994 : 450,014.90 = 100,315.64 : x
  2. Step 2: Convert to fraction form
    299,994/450,014.90 = 100,315.64/x
  3. Step 3: Cross multiply
    299,994x = 450,014.90 × 100,315.64
  4. Step 4: Simplify right side
    299,994x = 45,143,532,703.04
  5. Step 5: Solve for x
    x = 45,143,532,703.04/299,994
  6. Step 6: Final answer
    x = 150,481.45

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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.