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Finding the Fourth Proportional to 1,322,364.72, 1,824,824.96 and 749,457.84

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Solution

The fourth proportional to 1,322,364.72, 1,824,824.96 and 749,457.84 is: 1,034,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,364.72 : 1,824,824.96 = 749,457.84 : x
  2. Step 2: Convert to fraction form
    1,322,364.72/1,824,824.96 = 749,457.84/x
  3. Step 3: Cross multiply
    1,322,364.72x = 1,824,824.96 × 749,457.84
  4. Step 4: Simplify right side
    1,322,364.72x = 1,367,629,372,899.69
  5. Step 5: Solve for x
    x = 1,367,629,372,899.69/1,322,364.72
  6. Step 6: Final answer
    x = 1,034,230.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.