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Finding the Fourth Proportional to 494,563.68, 741,894.32 and 139,580.76

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Solution

The fourth proportional to 494,563.68, 741,894.32 and 139,580.76 is: 209,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,563.68 : 741,894.32 = 139,580.76 : x
  2. Step 2: Convert to fraction form
    494,563.68/741,894.32 = 139,580.76/x
  3. Step 3: Cross multiply
    494,563.68x = 741,894.32 × 139,580.76
  4. Step 4: Simplify right side
    494,563.68x = 103,554,173,025.28
  5. Step 5: Solve for x
    x = 103,554,173,025.28/494,563.68
  6. Step 6: Final answer
    x = 209,384.91

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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.