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Finding the Fourth Proportional to 454,428.80, 681,636.80 and 205,110.40

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Solution

The fourth proportional to 454,428.80, 681,636.80 and 205,110.40 is: 307,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,428.80 : 681,636.80 = 205,110.40 : x
  2. Step 2: Convert to fraction form
    454,428.80/681,636.80 = 205,110.40/x
  3. Step 3: Cross multiply
    454,428.80x = 681,636.80 × 205,110.40
  4. Step 4: Simplify right side
    454,428.80x = 139,810,796,702.72
  5. Step 5: Solve for x
    x = 139,810,796,702.72/454,428.80
  6. Step 6: Final answer
    x = 307,662.71

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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.