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Finding the Fourth Proportional to 329,632.56, 494,448.64 and 312,803.56

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Solution

The fourth proportional to 329,632.56, 494,448.64 and 312,803.56 is: 469,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,632.56 : 494,448.64 = 312,803.56 : x
  2. Step 2: Convert to fraction form
    329,632.56/494,448.64 = 312,803.56/x
  3. Step 3: Cross multiply
    329,632.56x = 494,448.64 × 312,803.56
  4. Step 4: Simplify right side
    329,632.56x = 154,665,294,829.16
  5. Step 5: Solve for x
    x = 154,665,294,829.16/329,632.56
  6. Step 6: Final answer
    x = 469,205.15

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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.