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Finding the Fourth Proportional to 329,795.70, 493,709.40 and 310,331.40

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Solution

The fourth proportional to 329,795.70, 493,709.40 and 310,331.40 is: 464,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,795.70 : 493,709.40 = 310,331.40 : x
  2. Step 2: Convert to fraction form
    329,795.70/493,709.40 = 310,331.40/x
  3. Step 3: Cross multiply
    329,795.70x = 493,709.40 × 310,331.40
  4. Step 4: Simplify right side
    329,795.70x = 153,213,529,295.16
  5. Step 5: Solve for x
    x = 153,213,529,295.16/329,795.70
  6. Step 6: Final answer
    x = 464,571.03

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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.