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Finding the Fourth Proportional to 279,632.64, 419,670.40 and 121,971.81

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Solution

The fourth proportional to 279,632.64, 419,670.40 and 121,971.81 is: 183,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,632.64 : 419,670.40 = 121,971.81 : x
  2. Step 2: Convert to fraction form
    279,632.64/419,670.40 = 121,971.81/x
  3. Step 3: Cross multiply
    279,632.64x = 419,670.40 × 121,971.81
  4. Step 4: Simplify right side
    279,632.64x = 51,187,958,291.42
  5. Step 5: Solve for x
    x = 51,187,958,291.42/279,632.64
  6. Step 6: Final answer
    x = 183,054.30

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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.