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Finding the Fourth Proportional to 494,490.30, 742,318.65 and 281,427.90

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Solution

The fourth proportional to 494,490.30, 742,318.65 and 281,427.90 is: 422,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,490.30 : 742,318.65 = 281,427.90 : x
  2. Step 2: Convert to fraction form
    494,490.30/742,318.65 = 281,427.90/x
  3. Step 3: Cross multiply
    494,490.30x = 742,318.65 × 281,427.90
  4. Step 4: Simplify right side
    494,490.30x = 208,909,178,800.34
  5. Step 5: Solve for x
    x = 208,909,178,800.34/494,490.30
  6. Step 6: Final answer
    x = 422,473.77

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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.