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Finding the Fourth Proportional to 1,433,825.50, 1,978,447.59 and 821,865.58

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Solution

The fourth proportional to 1,433,825.50, 1,978,447.59 and 821,865.58 is: 1,134,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,825.50 : 1,978,447.59 = 821,865.58 : x
  2. Step 2: Convert to fraction form
    1,433,825.50/1,978,447.59 = 821,865.58/x
  3. Step 3: Cross multiply
    1,433,825.50x = 1,978,447.59 × 821,865.58
  4. Step 4: Simplify right side
    1,433,825.50x = 1,626,017,976,054.95
  5. Step 5: Solve for x
    x = 1,626,017,976,054.95/1,433,825.50
  6. Step 6: Final answer
    x = 1,134,041.75

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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.