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Finding the Fourth Proportional to 494,777.16, 742,191.12 and 139,816.80

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Solution

The fourth proportional to 494,777.16, 742,191.12 and 139,816.80 is: 209,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,777.16 : 742,191.12 = 139,816.80 : x
  2. Step 2: Convert to fraction form
    494,777.16/742,191.12 = 139,816.80/x
  3. Step 3: Cross multiply
    494,777.16x = 742,191.12 × 139,816.80
  4. Step 4: Simplify right side
    494,777.16x = 103,770,787,386.82
  5. Step 5: Solve for x
    x = 103,770,787,386.82/494,777.16
  6. Step 6: Final answer
    x = 209,732.37

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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.