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Finding the Fourth Proportional to 678,405, 1,017,677.16 and 179,769

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Solution

The fourth proportional to 678,405, 1,017,677.16 and 179,769 is: 269,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,405 : 1,017,677.16 = 179,769 : x
  2. Step 2: Convert to fraction form
    678,405/1,017,677.16 = 179,769/x
  3. Step 3: Cross multiply
    678,405x = 1,017,677.16 × 179,769
  4. Step 4: Simplify right side
    678,405x = 182,946,805,376.04
  5. Step 5: Solve for x
    x = 182,946,805,376.04/678,405
  6. Step 6: Final answer
    x = 269,671.96

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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.