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Finding the Fourth Proportional to 678,321, 1,017,500.94 and 179,685

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Solution

The fourth proportional to 678,321, 1,017,500.94 and 179,685 is: 269,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,321 : 1,017,500.94 = 179,685 : x
  2. Step 2: Convert to fraction form
    678,321/1,017,500.94 = 179,685/x
  3. Step 3: Cross multiply
    678,321x = 1,017,500.94 × 179,685
  4. Step 4: Simplify right side
    678,321x = 182,829,656,403.90
  5. Step 5: Solve for x
    x = 182,829,656,403.90/678,321
  6. Step 6: Final answer
    x = 269,532.65

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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.