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Finding the Fourth Proportional to 1,321,661.84, 1,823,965.43 and 748,813.64

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Solution

The fourth proportional to 1,321,661.84, 1,823,965.43 and 748,813.64 is: 1,033,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,661.84 : 1,823,965.43 = 748,813.64 : x
  2. Step 2: Convert to fraction form
    1,321,661.84/1,823,965.43 = 748,813.64/x
  3. Step 3: Cross multiply
    1,321,661.84x = 1,823,965.43 × 748,813.64
  4. Step 4: Simplify right side
    1,321,661.84x = 1,365,810,180,008.57
  5. Step 5: Solve for x
    x = 1,365,810,180,008.57/1,321,661.84
  6. Step 6: Final answer
    x = 1,033,403.66

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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.