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Finding the Fourth Proportional to 501,698.89, 692,343.91 and 275,344.97

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Solution

The fourth proportional to 501,698.89, 692,343.91 and 275,344.97 is: 379,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,698.89 : 692,343.91 = 275,344.97 : x
  2. Step 2: Convert to fraction form
    501,698.89/692,343.91 = 275,344.97/x
  3. Step 3: Cross multiply
    501,698.89x = 692,343.91 × 275,344.97
  4. Step 4: Simplify right side
    501,698.89x = 190,633,411,751.91
  5. Step 5: Solve for x
    x = 190,633,411,751.91/501,698.89
  6. Step 6: Final answer
    x = 379,975.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.