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Finding the Fourth Proportional to 498,706.56, 747,505.80 and 379,986.48

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Solution

The fourth proportional to 498,706.56, 747,505.80 and 379,986.48 is: 569,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,706.56 : 747,505.80 = 379,986.48 : x
  2. Step 2: Convert to fraction form
    498,706.56/747,505.80 = 379,986.48/x
  3. Step 3: Cross multiply
    498,706.56x = 747,505.80 × 379,986.48
  4. Step 4: Simplify right side
    498,706.56x = 284,042,097,721.58
  5. Step 5: Solve for x
    x = 284,042,097,721.58/498,706.56
  6. Step 6: Final answer
    x = 569,557.57

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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.