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Finding the Fourth Proportional to 668,858.70, 1,003,288.05 and 313,908.60

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Solution

The fourth proportional to 668,858.70, 1,003,288.05 and 313,908.60 is: 470,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,858.70 : 1,003,288.05 = 313,908.60 : x
  2. Step 2: Convert to fraction form
    668,858.70/1,003,288.05 = 313,908.60/x
  3. Step 3: Cross multiply
    668,858.70x = 1,003,288.05 × 313,908.60
  4. Step 4: Simplify right side
    668,858.70x = 314,940,747,172.23
  5. Step 5: Solve for x
    x = 314,940,747,172.23/668,858.70
  6. Step 6: Final answer
    x = 470,862.90

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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.