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Finding the Fourth Proportional to 384,427.40, 576,425.12 and 159,636.60

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Solution

The fourth proportional to 384,427.40, 576,425.12 and 159,636.60 is: 239,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,427.40 : 576,425.12 = 159,636.60 : x
  2. Step 2: Convert to fraction form
    384,427.40/576,425.12 = 159,636.60/x
  3. Step 3: Cross multiply
    384,427.40x = 576,425.12 × 159,636.60
  4. Step 4: Simplify right side
    384,427.40x = 92,018,546,311.39
  5. Step 5: Solve for x
    x = 92,018,546,311.39/384,427.40
  6. Step 6: Final answer
    x = 239,365.21

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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.