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Finding the Fourth Proportional to 329,812.40, 494,718.60 and 311,441.60

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Solution

The fourth proportional to 329,812.40, 494,718.60 and 311,441.60 is: 467,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,812.40 : 494,718.60 = 311,441.60 : x
  2. Step 2: Convert to fraction form
    329,812.40/494,718.60 = 311,441.60/x
  3. Step 3: Cross multiply
    329,812.40x = 494,718.60 × 311,441.60
  4. Step 4: Simplify right side
    329,812.40x = 154,075,952,333.76
  5. Step 5: Solve for x
    x = 154,075,952,333.76/329,812.40
  6. Step 6: Final answer
    x = 467,162.40

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1.5x scale

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.