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Finding the Fourth Proportional to 298,716.20, 447,607.66 and 254,159.72

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Solution

The fourth proportional to 298,716.20, 447,607.66 and 254,159.72 is: 380,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,716.20 : 447,607.66 = 254,159.72 : x
  2. Step 2: Convert to fraction form
    298,716.20/447,607.66 = 254,159.72/x
  3. Step 3: Cross multiply
    298,716.20x = 447,607.66 × 254,159.72
  4. Step 4: Simplify right side
    298,716.20x = 113,763,837,535.46
  5. Step 5: Solve for x
    x = 113,763,837,535.46/298,716.20
  6. Step 6: Final answer
    x = 380,842.54

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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.