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Finding the Fourth Proportional to 640,824, 884,302.56 and 354,327.36

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Solution

The fourth proportional to 640,824, 884,302.56 and 354,327.36 is: 488,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,824 : 884,302.56 = 354,327.36 : x
  2. Step 2: Convert to fraction form
    640,824/884,302.56 = 354,327.36/x
  3. Step 3: Cross multiply
    640,824x = 884,302.56 × 354,327.36
  4. Step 4: Simplify right side
    640,824x = 313,332,591,526.04
  5. Step 5: Solve for x
    x = 313,332,591,526.04/640,824
  6. Step 6: Final answer
    x = 488,952.65

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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.