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Finding the Fourth Proportional to 386,720.78, 533,672.43 and 216,954.50

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Solution

The fourth proportional to 386,720.78, 533,672.43 and 216,954.50 is: 299,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,720.78 : 533,672.43 = 216,954.50 : x
  2. Step 2: Convert to fraction form
    386,720.78/533,672.43 = 216,954.50/x
  3. Step 3: Cross multiply
    386,720.78x = 533,672.43 × 216,954.50
  4. Step 4: Simplify right side
    386,720.78x = 115,782,635,214.44
  5. Step 5: Solve for x
    x = 115,782,635,214.44/386,720.78
  6. Step 6: Final answer
    x = 299,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.