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Finding the Fourth Proportional to 329,709.40, 494,564.10 and 189,741.40

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Solution

The fourth proportional to 329,709.40, 494,564.10 and 189,741.40 is: 284,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,709.40 : 494,564.10 = 189,741.40 : x
  2. Step 2: Convert to fraction form
    329,709.40/494,564.10 = 189,741.40/x
  3. Step 3: Cross multiply
    329,709.40x = 494,564.10 × 189,741.40
  4. Step 4: Simplify right side
    329,709.40x = 93,839,284,723.74
  5. Step 5: Solve for x
    x = 93,839,284,723.74/329,709.40
  6. Step 6: Final answer
    x = 284,612.10

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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.