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Finding the Fourth Proportional to 494,107.07, 741,152.82 and 157,142.86

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Solution

The fourth proportional to 494,107.07, 741,152.82 and 157,142.86 is: 235,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,107.07 : 741,152.82 = 157,142.86 : x
  2. Step 2: Convert to fraction form
    494,107.07/741,152.82 = 157,142.86/x
  3. Step 3: Cross multiply
    494,107.07x = 741,152.82 × 157,142.86
  4. Step 4: Simplify right side
    494,107.07x = 116,466,871,978.98
  5. Step 5: Solve for x
    x = 116,466,871,978.98/494,107.07
  6. Step 6: Final answer
    x = 235,711.81

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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.