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Finding the Fourth Proportional to 297,285.90, 445,996.97 and 128,834.50

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Solution

The fourth proportional to 297,285.90, 445,996.97 and 128,834.50 is: 193,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,285.90 : 445,996.97 = 128,834.50 : x
  2. Step 2: Convert to fraction form
    297,285.90/445,996.97 = 128,834.50/x
  3. Step 3: Cross multiply
    297,285.90x = 445,996.97 × 128,834.50
  4. Step 4: Simplify right side
    297,285.90x = 57,459,796,631.47
  5. Step 5: Solve for x
    x = 57,459,796,631.47/297,285.90
  6. Step 6: Final answer
    x = 193,281.27

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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.