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Finding the Fourth Proportional to 640,971.82, 884,535.96 and 354,484.54

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Solution

The fourth proportional to 640,971.82, 884,535.96 and 354,484.54 is: 489,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,971.82 : 884,535.96 = 354,484.54 : x
  2. Step 2: Convert to fraction form
    640,971.82/884,535.96 = 354,484.54/x
  3. Step 3: Cross multiply
    640,971.82x = 884,535.96 × 354,484.54
  4. Step 4: Simplify right side
    640,971.82x = 313,554,322,894.06
  5. Step 5: Solve for x
    x = 313,554,322,894.06/640,971.82
  6. Step 6: Final answer
    x = 489,185.82

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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.