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Finding the Fourth Proportional to 329,909.84, 494,622.44 and 105,140.88

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Solution

The fourth proportional to 329,909.84, 494,622.44 and 105,140.88 is: 157,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,909.84 : 494,622.44 = 105,140.88 : x
  2. Step 2: Convert to fraction form
    329,909.84/494,622.44 = 105,140.88/x
  3. Step 3: Cross multiply
    329,909.84x = 494,622.44 × 105,140.88
  4. Step 4: Simplify right side
    329,909.84x = 52,005,038,609.35
  5. Step 5: Solve for x
    x = 52,005,038,609.35/329,909.84
  6. Step 6: Final answer
    x = 157,634.09

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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.