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Finding the Fourth Proportional to 640,826, 884,305.32 and 354,329.36

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Solution

The fourth proportional to 640,826, 884,305.32 and 354,329.36 is: 488,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,826 : 884,305.32 = 354,329.36 : x
  2. Step 2: Convert to fraction form
    640,826/884,305.32 = 354,329.36/x
  3. Step 3: Cross multiply
    640,826x = 884,305.32 × 354,329.36
  4. Step 4: Simplify right side
    640,826x = 313,335,338,080.20
  5. Step 5: Solve for x
    x = 313,335,338,080.20/640,826
  6. Step 6: Final answer
    x = 488,955.41

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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.