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Finding the Fourth Proportional to 821,693, 1,232,643.18 and 282,054.44

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Solution

The fourth proportional to 821,693, 1,232,643.18 and 282,054.44 is: 423,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,693 : 1,232,643.18 = 282,054.44 : x
  2. Step 2: Convert to fraction form
    821,693/1,232,643.18 = 282,054.44/x
  3. Step 3: Cross multiply
    821,693x = 1,232,643.18 × 282,054.44
  4. Step 4: Simplify right side
    821,693x = 347,672,481,854.72
  5. Step 5: Solve for x
    x = 347,672,481,854.72/821,693
  6. Step 6: Final answer
    x = 423,117.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.