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Finding the Fourth Proportional to 345,894.41, 477,313.73 and 200,688.95

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Solution

The fourth proportional to 345,894.41, 477,313.73 and 200,688.95 is: 276,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,894.41 : 477,313.73 = 200,688.95 : x
  2. Step 2: Convert to fraction form
    345,894.41/477,313.73 = 200,688.95/x
  3. Step 3: Cross multiply
    345,894.41x = 477,313.73 × 200,688.95
  4. Step 4: Simplify right side
    345,894.41x = 95,791,589,551.82
  5. Step 5: Solve for x
    x = 95,791,589,551.82/345,894.41
  6. Step 6: Final answer
    x = 276,938.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.