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Finding the Fourth Proportional to 668,908.70, 1,003,644.53 and 416,400.54

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Solution

The fourth proportional to 668,908.70, 1,003,644.53 and 416,400.54 is: 624,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,908.70 : 1,003,644.53 = 416,400.54 : x
  2. Step 2: Convert to fraction form
    668,908.70/1,003,644.53 = 416,400.54/x
  3. Step 3: Cross multiply
    668,908.70x = 1,003,644.53 × 416,400.54
  4. Step 4: Simplify right side
    668,908.70x = 417,918,124,260.05
  5. Step 5: Solve for x
    x = 417,918,124,260.05/668,908.70
  6. Step 6: Final answer
    x = 624,776.03

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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.