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Finding the Fourth Proportional to 436,539.12, 654,810.30 and 132,936

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Solution

The fourth proportional to 436,539.12, 654,810.30 and 132,936 is: 199,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,539.12 : 654,810.30 = 132,936 : x
  2. Step 2: Convert to fraction form
    436,539.12/654,810.30 = 132,936/x
  3. Step 3: Cross multiply
    436,539.12x = 654,810.30 × 132,936
  4. Step 4: Simplify right side
    436,539.12x = 87,047,862,040.80
  5. Step 5: Solve for x
    x = 87,047,862,040.80/436,539.12
  6. Step 6: Final answer
    x = 199,404.49

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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.