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Finding the Fourth Proportional to 329,695.12, 493,977.13 and 221,421.53

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Solution

The fourth proportional to 329,695.12, 493,977.13 and 221,421.53 is: 331,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,695.12 : 493,977.13 = 221,421.53 : x
  2. Step 2: Convert to fraction form
    329,695.12/493,977.13 = 221,421.53/x
  3. Step 3: Cross multiply
    329,695.12x = 493,977.13 × 221,421.53
  4. Step 4: Simplify right side
    329,695.12x = 109,377,172,591.00
  5. Step 5: Solve for x
    x = 109,377,172,591.00/329,695.12
  6. Step 6: Final answer
    x = 331,752.48

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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.