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Finding the Fourth Proportional to 456,065.40, 684,098.10 and 449,844.60

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Solution

The fourth proportional to 456,065.40, 684,098.10 and 449,844.60 is: 674,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,065.40 : 684,098.10 = 449,844.60 : x
  2. Step 2: Convert to fraction form
    456,065.40/684,098.10 = 449,844.60/x
  3. Step 3: Cross multiply
    456,065.40x = 684,098.10 × 449,844.60
  4. Step 4: Simplify right side
    456,065.40x = 307,737,836,155.26
  5. Step 5: Solve for x
    x = 307,737,836,155.26/456,065.40
  6. Step 6: Final answer
    x = 674,766.90

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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.