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Finding the Fourth Proportional to 242,284, 363,427.60 and 84,511.84

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Solution

The fourth proportional to 242,284, 363,427.60 and 84,511.84 is: 126,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,284 : 363,427.60 = 84,511.84 : x
  2. Step 2: Convert to fraction form
    242,284/363,427.60 = 84,511.84/x
  3. Step 3: Cross multiply
    242,284x = 363,427.60 × 84,511.84
  4. Step 4: Simplify right side
    242,284x = 30,713,935,182.78
  5. Step 5: Solve for x
    x = 30,713,935,182.78/242,284
  6. Step 6: Final answer
    x = 126,768.32

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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.