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Finding the Fourth Proportional to 825,640.64, 1,239,013.28 and 300,328.64

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Solution

The fourth proportional to 825,640.64, 1,239,013.28 and 300,328.64 is: 450,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,640.64 : 1,239,013.28 = 300,328.64 : x
  2. Step 2: Convert to fraction form
    825,640.64/1,239,013.28 = 300,328.64/x
  3. Step 3: Cross multiply
    825,640.64x = 1,239,013.28 × 300,328.64
  4. Step 4: Simplify right side
    825,640.64x = 372,111,173,324.34
  5. Step 5: Solve for x
    x = 372,111,173,324.34/825,640.64
  6. Step 6: Final answer
    x = 450,693.87

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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.