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Finding the Fourth Proportional to 492,049.60, 738,074.40 and 314,756.80

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Solution

The fourth proportional to 492,049.60, 738,074.40 and 314,756.80 is: 472,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,049.60 : 738,074.40 = 314,756.80 : x
  2. Step 2: Convert to fraction form
    492,049.60/738,074.40 = 314,756.80/x
  3. Step 3: Cross multiply
    492,049.60x = 738,074.40 × 314,756.80
  4. Step 4: Simplify right side
    492,049.60x = 232,313,936,305.92
  5. Step 5: Solve for x
    x = 232,313,936,305.92/492,049.60
  6. Step 6: Final answer
    x = 472,135.20

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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.