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Finding the Fourth Proportional to 494,857.80, 742,113.90 and 258,121.80

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Solution

The fourth proportional to 494,857.80, 742,113.90 and 258,121.80 is: 387,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,857.80 : 742,113.90 = 258,121.80 : x
  2. Step 2: Convert to fraction form
    494,857.80/742,113.90 = 258,121.80/x
  3. Step 3: Cross multiply
    494,857.80x = 742,113.90 × 258,121.80
  4. Step 4: Simplify right side
    494,857.80x = 191,555,775,673.02
  5. Step 5: Solve for x
    x = 191,555,775,673.02/494,857.80
  6. Step 6: Final answer
    x = 387,092.57

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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.