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Finding the Fourth Proportional to 678,754.10, 1,018,352.60 and 323,722.01

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Solution

The fourth proportional to 678,754.10, 1,018,352.60 and 323,722.01 is: 485,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,754.10 : 1,018,352.60 = 323,722.01 : x
  2. Step 2: Convert to fraction form
    678,754.10/1,018,352.60 = 323,722.01/x
  3. Step 3: Cross multiply
    678,754.10x = 1,018,352.60 × 323,722.01
  4. Step 4: Simplify right side
    678,754.10x = 329,663,150,560.73
  5. Step 5: Solve for x
    x = 329,663,150,560.73/678,754.10
  6. Step 6: Final answer
    x = 485,688.63

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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.