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Finding the Fourth Proportional to 201,849.30, 303,430.05 and 172,980.90

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Solution

The fourth proportional to 201,849.30, 303,430.05 and 172,980.90 is: 260,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849.30 : 303,430.05 = 172,980.90 : x
  2. Step 2: Convert to fraction form
    201,849.30/303,430.05 = 172,980.90/x
  3. Step 3: Cross multiply
    201,849.30x = 303,430.05 × 172,980.90
  4. Step 4: Simplify right side
    201,849.30x = 52,487,603,136.05
  5. Step 5: Solve for x
    x = 52,487,603,136.05/201,849.30
  6. Step 6: Final answer
    x = 260,033.61

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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.