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Finding the Fourth Proportional to 488,813.04, 733,219.83 and 133,830

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Solution

The fourth proportional to 488,813.04, 733,219.83 and 133,830 is: 200,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,813.04 : 733,219.83 = 133,830 : x
  2. Step 2: Convert to fraction form
    488,813.04/733,219.83 = 133,830/x
  3. Step 3: Cross multiply
    488,813.04x = 733,219.83 × 133,830
  4. Step 4: Simplify right side
    488,813.04x = 98,126,809,848.90
  5. Step 5: Solve for x
    x = 98,126,809,848.90/488,813.04
  6. Step 6: Final answer
    x = 200,745.07

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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.