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Finding the Fourth Proportional to 494,761.20, 742,141.80 and 162,337.20

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Solution

The fourth proportional to 494,761.20, 742,141.80 and 162,337.20 is: 243,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,761.20 : 742,141.80 = 162,337.20 : x
  2. Step 2: Convert to fraction form
    494,761.20/742,141.80 = 162,337.20/x
  3. Step 3: Cross multiply
    494,761.20x = 742,141.80 × 162,337.20
  4. Step 4: Simplify right side
    494,761.20x = 120,477,221,814.96
  5. Step 5: Solve for x
    x = 120,477,221,814.96/494,761.20
  6. Step 6: Final answer
    x = 243,505.80

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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.