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Finding the Fourth Proportional to 290,713.64, 436,103.27 and 132,899.72

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Solution

The fourth proportional to 290,713.64, 436,103.27 and 132,899.72 is: 199,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713.64 : 436,103.27 = 132,899.72 : x
  2. Step 2: Convert to fraction form
    290,713.64/436,103.27 = 132,899.72/x
  3. Step 3: Cross multiply
    290,713.64x = 436,103.27 × 132,899.72
  4. Step 4: Simplify right side
    290,713.64x = 57,957,999,629.07
  5. Step 5: Solve for x
    x = 57,957,999,629.07/290,713.64
  6. Step 6: Final answer
    x = 199,364.57

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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.