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Finding the Fourth Proportional to 494,770.33, 742,204.10 and 139,787.11

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Solution

The fourth proportional to 494,770.33, 742,204.10 and 139,787.11 is: 209,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,770.33 : 742,204.10 = 139,787.11 : x
  2. Step 2: Convert to fraction form
    494,770.33/742,204.10 = 139,787.11/x
  3. Step 3: Cross multiply
    494,770.33x = 742,204.10 × 139,787.11
  4. Step 4: Simplify right side
    494,770.33x = 103,750,566,169.15
  5. Step 5: Solve for x
    x = 103,750,566,169.15/494,770.33
  6. Step 6: Final answer
    x = 209,694.40

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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.