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Finding the Fourth Proportional to 678,322, 1,017,502.44 and 179,686

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Solution

The fourth proportional to 678,322, 1,017,502.44 and 179,686 is: 269,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,322 : 1,017,502.44 = 179,686 : x
  2. Step 2: Convert to fraction form
    678,322/1,017,502.44 = 179,686/x
  3. Step 3: Cross multiply
    678,322x = 1,017,502.44 × 179,686
  4. Step 4: Simplify right side
    678,322x = 182,830,943,433.84
  5. Step 5: Solve for x
    x = 182,830,943,433.84/678,322
  6. Step 6: Final answer
    x = 269,534.15

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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.