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Finding the Fourth Proportional to 214,458.58, 321,646.34 and 72,288.90

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Solution

The fourth proportional to 214,458.58, 321,646.34 and 72,288.90 is: 108,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458.58 : 321,646.34 = 72,288.90 : x
  2. Step 2: Convert to fraction form
    214,458.58/321,646.34 = 72,288.90/x
  3. Step 3: Cross multiply
    214,458.58x = 321,646.34 × 72,288.90
  4. Step 4: Simplify right side
    214,458.58x = 23,251,460,107.63
  5. Step 5: Solve for x
    x = 23,251,460,107.63/214,458.58
  6. Step 6: Final answer
    x = 108,419.35

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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.