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Finding the Fourth Proportional to 384,120.94, 576,159.62 and 117,880.78

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Solution

The fourth proportional to 384,120.94, 576,159.62 and 117,880.78 is: 176,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,120.94 : 576,159.62 = 117,880.78 : x
  2. Step 2: Convert to fraction form
    384,120.94/576,159.62 = 117,880.78/x
  3. Step 3: Cross multiply
    384,120.94x = 576,159.62 × 117,880.78
  4. Step 4: Simplify right side
    384,120.94x = 67,918,145,410.10
  5. Step 5: Solve for x
    x = 67,918,145,410.10/384,120.94
  6. Step 6: Final answer
    x = 176,814.48

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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.