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Finding the Fourth Proportional to 384,071.63, 576,135.12 and 147,414.30

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Solution

The fourth proportional to 384,071.63, 576,135.12 and 147,414.30 is: 221,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,071.63 : 576,135.12 = 147,414.30 : x
  2. Step 2: Convert to fraction form
    384,071.63/576,135.12 = 147,414.30/x
  3. Step 3: Cross multiply
    384,071.63x = 576,135.12 × 147,414.30
  4. Step 4: Simplify right side
    384,071.63x = 84,930,555,420.22
  5. Step 5: Solve for x
    x = 84,930,555,420.22/384,071.63
  6. Step 6: Final answer
    x = 221,132.08

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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.