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Finding the Fourth Proportional to 449,993, 674,656.32 and 272,458.28

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Solution

The fourth proportional to 449,993, 674,656.32 and 272,458.28 is: 408,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,993 : 674,656.32 = 272,458.28 : x
  2. Step 2: Convert to fraction form
    449,993/674,656.32 = 272,458.28/x
  3. Step 3: Cross multiply
    449,993x = 674,656.32 × 272,458.28
  4. Step 4: Simplify right side
    449,993x = 183,815,700,538.33
  5. Step 5: Solve for x
    x = 183,815,700,538.33/449,993
  6. Step 6: Final answer
    x = 408,485.69

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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.