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Finding the Fourth Proportional to 678,404, 1,017,675.66 and 179,768

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Solution

The fourth proportional to 678,404, 1,017,675.66 and 179,768 is: 269,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,404 : 1,017,675.66 = 179,768 : x
  2. Step 2: Convert to fraction form
    678,404/1,017,675.66 = 179,768/x
  3. Step 3: Cross multiply
    678,404x = 1,017,675.66 × 179,768
  4. Step 4: Simplify right side
    678,404x = 182,945,518,046.88
  5. Step 5: Solve for x
    x = 182,945,518,046.88/678,404
  6. Step 6: Final answer
    x = 269,670.46

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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.