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Finding the Fourth Proportional to 494,894.24, 742,341 and 284,397.92

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Solution

The fourth proportional to 494,894.24, 742,341 and 284,397.92 is: 426,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,894.24 : 742,341 = 284,397.92 : x
  2. Step 2: Convert to fraction form
    494,894.24/742,341 = 284,397.92/x
  3. Step 3: Cross multiply
    494,894.24x = 742,341 × 284,397.92
  4. Step 4: Simplify right side
    494,894.24x = 211,120,236,330.72
  5. Step 5: Solve for x
    x = 211,120,236,330.72/494,894.24
  6. Step 6: Final answer
    x = 426,596.67

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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.