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Finding the Fourth Proportional to 1,365,542.88, 1,884,786.48 and 829,448.16

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Solution

The fourth proportional to 1,365,542.88, 1,884,786.48 and 829,448.16 is: 1,144,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,542.88 : 1,884,786.48 = 829,448.16 : x
  2. Step 2: Convert to fraction form
    1,365,542.88/1,884,786.48 = 829,448.16/x
  3. Step 3: Cross multiply
    1,365,542.88x = 1,884,786.48 × 829,448.16
  4. Step 4: Simplify right side
    1,365,542.88x = 1,563,332,677,828.88
  5. Step 5: Solve for x
    x = 1,563,332,677,828.88/1,365,542.88
  6. Step 6: Final answer
    x = 1,144,843.34

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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.