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Finding the Fourth Proportional to 408,433.36, 612,196.03 and 308,268.76

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Solution

The fourth proportional to 408,433.36, 612,196.03 and 308,268.76 is: 462,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,433.36 : 612,196.03 = 308,268.76 : x
  2. Step 2: Convert to fraction form
    408,433.36/612,196.03 = 308,268.76/x
  3. Step 3: Cross multiply
    408,433.36x = 612,196.03 × 308,268.76
  4. Step 4: Simplify right side
    408,433.36x = 188,720,911,045.02
  5. Step 5: Solve for x
    x = 188,720,911,045.02/408,433.36
  6. Step 6: Final answer
    x = 462,060.47

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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.