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Finding the Fourth Proportional to 494,770.40, 742,112.40 and 162,346.40

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Solution

The fourth proportional to 494,770.40, 742,112.40 and 162,346.40 is: 243,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,770.40 : 742,112.40 = 162,346.40 : x
  2. Step 2: Convert to fraction form
    494,770.40/742,112.40 = 162,346.40/x
  3. Step 3: Cross multiply
    494,770.40x = 742,112.40 × 162,346.40
  4. Step 4: Simplify right side
    494,770.40x = 120,479,276,535.36
  5. Step 5: Solve for x
    x = 120,479,276,535.36/494,770.40
  6. Step 6: Final answer
    x = 243,505.43

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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.