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Finding the Fourth Proportional to 297,284.40, 445,994.72 and 128,833

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Solution

The fourth proportional to 297,284.40, 445,994.72 and 128,833 is: 193,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,284.40 : 445,994.72 = 128,833 : x
  2. Step 2: Convert to fraction form
    297,284.40/445,994.72 = 128,833/x
  3. Step 3: Cross multiply
    297,284.40x = 445,994.72 × 128,833
  4. Step 4: Simplify right side
    297,284.40x = 57,458,837,761.76
  5. Step 5: Solve for x
    x = 57,458,837,761.76/297,284.40
  6. Step 6: Final answer
    x = 193,279.02

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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.