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Finding the Fourth Proportional to 668,990.70, 1,003,843.20 and 314,007.78

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Solution

The fourth proportional to 668,990.70, 1,003,843.20 and 314,007.78 is: 471,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,990.70 : 1,003,843.20 = 314,007.78 : x
  2. Step 2: Convert to fraction form
    668,990.70/1,003,843.20 = 314,007.78/x
  3. Step 3: Cross multiply
    668,990.70x = 1,003,843.20 × 314,007.78
  4. Step 4: Simplify right side
    668,990.70x = 315,214,574,700.10
  5. Step 5: Solve for x
    x = 315,214,574,700.10/668,990.70
  6. Step 6: Final answer
    x = 471,179.31

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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.