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Finding the Fourth Proportional to 492,145.60, 738,218.40 and 314,123.80

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Solution

The fourth proportional to 492,145.60, 738,218.40 and 314,123.80 is: 471,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,145.60 : 738,218.40 = 314,123.80 : x
  2. Step 2: Convert to fraction form
    492,145.60/738,218.40 = 314,123.80/x
  3. Step 3: Cross multiply
    492,145.60x = 738,218.40 × 314,123.80
  4. Step 4: Simplify right side
    492,145.60x = 231,891,969,037.92
  5. Step 5: Solve for x
    x = 231,891,969,037.92/492,145.60
  6. Step 6: Final answer
    x = 471,185.70

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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.