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Finding the Fourth Proportional to 492,425.56, 738,126.20 and 207,878.64

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Solution

The fourth proportional to 492,425.56, 738,126.20 and 207,878.64 is: 311,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,425.56 : 738,126.20 = 207,878.64 : x
  2. Step 2: Convert to fraction form
    492,425.56/738,126.20 = 207,878.64/x
  3. Step 3: Cross multiply
    492,425.56x = 738,126.20 × 207,878.64
  4. Step 4: Simplify right side
    492,425.56x = 153,440,668,356.09
  5. Step 5: Solve for x
    x = 153,440,668,356.09/492,425.56
  6. Step 6: Final answer
    x = 311,601.75

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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.