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Finding the Fourth Proportional to 384,719.60, 577,112.20 and 100,447.88

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Solution

The fourth proportional to 384,719.60, 577,112.20 and 100,447.88 is: 150,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,719.60 : 577,112.20 = 100,447.88 : x
  2. Step 2: Convert to fraction form
    384,719.60/577,112.20 = 100,447.88/x
  3. Step 3: Cross multiply
    384,719.60x = 577,112.20 × 100,447.88
  4. Step 4: Simplify right side
    384,719.60x = 57,969,697,012.14
  5. Step 5: Solve for x
    x = 57,969,697,012.14/384,719.60
  6. Step 6: Final answer
    x = 150,680.38

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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.