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Finding the Fourth Proportional to 494,830.16, 742,293.80 and 139,846.80

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Solution

The fourth proportional to 494,830.16, 742,293.80 and 139,846.80 is: 209,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,830.16 : 742,293.80 = 139,846.80 : x
  2. Step 2: Convert to fraction form
    494,830.16/742,293.80 = 139,846.80/x
  3. Step 3: Cross multiply
    494,830.16x = 742,293.80 × 139,846.80
  4. Step 4: Simplify right side
    494,830.16x = 103,807,412,589.84
  5. Step 5: Solve for x
    x = 103,807,412,589.84/494,830.16
  6. Step 6: Final answer
    x = 209,783.92

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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.