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Finding the Fourth Proportional to 329,595.21, 493,827.72 and 221,321.61

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Solution

The fourth proportional to 329,595.21, 493,827.72 and 221,321.61 is: 331,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,595.21 : 493,827.72 = 221,321.61 : x
  2. Step 2: Convert to fraction form
    329,595.21/493,827.72 = 221,321.61/x
  3. Step 3: Cross multiply
    329,595.21x = 493,827.72 × 221,321.61
  4. Step 4: Simplify right side
    329,595.21x = 109,294,746,053.03
  5. Step 5: Solve for x
    x = 109,294,746,053.03/329,595.21
  6. Step 6: Final answer
    x = 331,602.96

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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.