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Finding the Fourth Proportional to 553,642.74, 764,026.94 and 298,993.90

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Solution

The fourth proportional to 553,642.74, 764,026.94 and 298,993.90 is: 412,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,642.74 : 764,026.94 = 298,993.90 : x
  2. Step 2: Convert to fraction form
    553,642.74/764,026.94 = 298,993.90/x
  3. Step 3: Cross multiply
    553,642.74x = 764,026.94 × 298,993.90
  4. Step 4: Simplify right side
    553,642.74x = 228,439,394,495.67
  5. Step 5: Solve for x
    x = 228,439,394,495.67/553,642.74
  6. Step 6: Final answer
    x = 412,611.56

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Why These Related Problems?

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