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Finding the Fourth Proportional to 454,356, 681,621.48 and 205,038

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Solution

The fourth proportional to 454,356, 681,621.48 and 205,038 is: 307,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,356 : 681,621.48 = 205,038 : x
  2. Step 2: Convert to fraction form
    454,356/681,621.48 = 205,038/x
  3. Step 3: Cross multiply
    454,356x = 681,621.48 × 205,038
  4. Step 4: Simplify right side
    454,356x = 139,758,305,016.24
  5. Step 5: Solve for x
    x = 139,758,305,016.24/454,356
  6. Step 6: Final answer
    x = 307,596.48

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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.