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Finding the Fourth Proportional to 494,683.84, 742,027.92 and 210,301.12

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Solution

The fourth proportional to 494,683.84, 742,027.92 and 210,301.12 is: 315,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,683.84 : 742,027.92 = 210,301.12 : x
  2. Step 2: Convert to fraction form
    494,683.84/742,027.92 = 210,301.12/x
  3. Step 3: Cross multiply
    494,683.84x = 742,027.92 × 210,301.12
  4. Step 4: Simplify right side
    494,683.84x = 156,049,302,647.27
  5. Step 5: Solve for x
    x = 156,049,302,647.27/494,683.84
  6. Step 6: Final answer
    x = 315,452.60

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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.