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Finding the Fourth Proportional to 279,412.16, 419,114.09 and 69,050.09

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Solution

The fourth proportional to 279,412.16, 419,114.09 and 69,050.09 is: 103,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,412.16 : 419,114.09 = 69,050.09 : x
  2. Step 2: Convert to fraction form
    279,412.16/419,114.09 = 69,050.09/x
  3. Step 3: Cross multiply
    279,412.16x = 419,114.09 × 69,050.09
  4. Step 4: Simplify right side
    279,412.16x = 28,939,863,193.95
  5. Step 5: Solve for x
    x = 28,939,863,193.95/279,412.16
  6. Step 6: Final answer
    x = 103,574.10

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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.