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Finding the Fourth Proportional to 297,021.71, 445,509.25 and 83,780.98

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Solution

The fourth proportional to 297,021.71, 445,509.25 and 83,780.98 is: 125,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,021.71 : 445,509.25 = 83,780.98 : x
  2. Step 2: Convert to fraction form
    297,021.71/445,509.25 = 83,780.98/x
  3. Step 3: Cross multiply
    297,021.71x = 445,509.25 × 83,780.98
  4. Step 4: Simplify right side
    297,021.71x = 37,325,200,240.84
  5. Step 5: Solve for x
    x = 37,325,200,240.84/297,021.71
  6. Step 6: Final answer
    x = 125,664.89

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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.