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Finding the Fourth Proportional to 678,684, 1,017,326.10 and 304,969.44

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Solution

The fourth proportional to 678,684, 1,017,326.10 and 304,969.44 is: 457,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,684 : 1,017,326.10 = 304,969.44 : x
  2. Step 2: Convert to fraction form
    678,684/1,017,326.10 = 304,969.44/x
  3. Step 3: Cross multiply
    678,684x = 1,017,326.10 × 304,969.44
  4. Step 4: Simplify right side
    678,684x = 310,253,371,014.38
  5. Step 5: Solve for x
    x = 310,253,371,014.38/678,684
  6. Step 6: Final answer
    x = 457,139.66

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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.