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Finding the Fourth Proportional to 451,314.76, 677,427.76 and 198,707.74

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Solution

The fourth proportional to 451,314.76, 677,427.76 and 198,707.74 is: 298,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,314.76 : 677,427.76 = 198,707.74 : x
  2. Step 2: Convert to fraction form
    451,314.76/677,427.76 = 198,707.74/x
  3. Step 3: Cross multiply
    451,314.76x = 677,427.76 × 198,707.74
  4. Step 4: Simplify right side
    451,314.76x = 134,610,139,202.86
  5. Step 5: Solve for x
    x = 134,610,139,202.86/451,314.76
  6. Step 6: Final answer
    x = 298,262.21

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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.