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Finding the Fourth Proportional to 218,482.40, 301,511.41 and 122,992.58

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Solution

The fourth proportional to 218,482.40, 301,511.41 and 122,992.58 is: 169,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,482.40 : 301,511.41 = 122,992.58 : x
  2. Step 2: Convert to fraction form
    218,482.40/301,511.41 = 122,992.58/x
  3. Step 3: Cross multiply
    218,482.40x = 301,511.41 × 122,992.58
  4. Step 4: Simplify right side
    218,482.40x = 37,083,664,400.30
  5. Step 5: Solve for x
    x = 37,083,664,400.30/218,482.40
  6. Step 6: Final answer
    x = 169,732.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.