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Finding the Fourth Proportional to 330,575, 456,193.50 and 196,439

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Solution

The fourth proportional to 330,575, 456,193.50 and 196,439 is: 271,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,575 : 456,193.50 = 196,439 : x
  2. Step 2: Convert to fraction form
    330,575/456,193.50 = 196,439/x
  3. Step 3: Cross multiply
    330,575x = 456,193.50 × 196,439
  4. Step 4: Simplify right side
    330,575x = 89,614,194,946.50
  5. Step 5: Solve for x
    x = 89,614,194,946.50/330,575
  6. Step 6: Final answer
    x = 271,085.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.