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Finding the Fourth Proportional to 492,364.70, 738,671.46 and 137,378.50

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Solution

The fourth proportional to 492,364.70, 738,671.46 and 137,378.50 is: 206,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,364.70 : 738,671.46 = 137,378.50 : x
  2. Step 2: Convert to fraction form
    492,364.70/738,671.46 = 137,378.50/x
  3. Step 3: Cross multiply
    492,364.70x = 738,671.46 × 137,378.50
  4. Step 4: Simplify right side
    492,364.70x = 101,477,577,167.61
  5. Step 5: Solve for x
    x = 101,477,577,167.61/492,364.70
  6. Step 6: Final answer
    x = 206,102.46

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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.