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Finding the Fourth Proportional to 436,862.32, 654,739.36 and 196,720

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Solution

The fourth proportional to 436,862.32, 654,739.36 and 196,720 is: 294,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,862.32 : 654,739.36 = 196,720 : x
  2. Step 2: Convert to fraction form
    436,862.32/654,739.36 = 196,720/x
  3. Step 3: Cross multiply
    436,862.32x = 654,739.36 × 196,720
  4. Step 4: Simplify right side
    436,862.32x = 128,800,326,899.20
  5. Step 5: Solve for x
    x = 128,800,326,899.20/436,862.32
  6. Step 6: Final answer
    x = 294,830.48

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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.