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Finding the Fourth Proportional to 218,610.34, 327,866.30 and 142,684.98

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Solution

The fourth proportional to 218,610.34, 327,866.30 and 142,684.98 is: 213,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,610.34 : 327,866.30 = 142,684.98 : x
  2. Step 2: Convert to fraction form
    218,610.34/327,866.30 = 142,684.98/x
  3. Step 3: Cross multiply
    218,610.34x = 327,866.30 × 142,684.98
  4. Step 4: Simplify right side
    218,610.34x = 46,781,596,458.17
  5. Step 5: Solve for x
    x = 46,781,596,458.17/218,610.34
  6. Step 6: Final answer
    x = 213,995.35

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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.