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Finding the Fourth Proportional to 329,565.40, 494,348.10 and 129,892.30

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Solution

The fourth proportional to 329,565.40, 494,348.10 and 129,892.30 is: 194,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,565.40 : 494,348.10 = 129,892.30 : x
  2. Step 2: Convert to fraction form
    329,565.40/494,348.10 = 129,892.30/x
  3. Step 3: Cross multiply
    329,565.40x = 494,348.10 × 129,892.30
  4. Step 4: Simplify right side
    329,565.40x = 64,212,011,709.63
  5. Step 5: Solve for x
    x = 64,212,011,709.63/329,565.40
  6. Step 6: Final answer
    x = 194,838.45

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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.