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Finding the Fourth Proportional to 408,268.44, 612,320.40 and 256,397.69

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Solution

The fourth proportional to 408,268.44, 612,320.40 and 256,397.69 is: 384,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,268.44 : 612,320.40 = 256,397.69 : x
  2. Step 2: Convert to fraction form
    408,268.44/612,320.40 = 256,397.69/x
  3. Step 3: Cross multiply
    408,268.44x = 612,320.40 × 256,397.69
  4. Step 4: Simplify right side
    408,268.44x = 156,997,533,038.27
  5. Step 5: Solve for x
    x = 156,997,533,038.27/408,268.44
  6. Step 6: Final answer
    x = 384,544.87

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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.