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Finding the Fourth Proportional to 496,846.80, 744,395.40 and 407,617.20

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Solution

The fourth proportional to 496,846.80, 744,395.40 and 407,617.20 is: 610,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,846.80 : 744,395.40 = 407,617.20 : x
  2. Step 2: Convert to fraction form
    496,846.80/744,395.40 = 407,617.20/x
  3. Step 3: Cross multiply
    496,846.80x = 744,395.40 × 407,617.20
  4. Step 4: Simplify right side
    496,846.80x = 303,428,368,640.88
  5. Step 5: Solve for x
    x = 303,428,368,640.88/496,846.80
  6. Step 6: Final answer
    x = 610,708.11

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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.