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Finding the Fourth Proportional to 496,543.80, 743,940.90 and 407,314.20

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Solution

The fourth proportional to 496,543.80, 743,940.90 and 407,314.20 is: 610,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,543.80 : 743,940.90 = 407,314.20 : x
  2. Step 2: Convert to fraction form
    496,543.80/743,940.90 = 407,314.20/x
  3. Step 3: Cross multiply
    496,543.80x = 743,940.90 × 407,314.20
  4. Step 4: Simplify right side
    496,543.80x = 303,017,692,530.78
  5. Step 5: Solve for x
    x = 303,017,692,530.78/496,543.80
  6. Step 6: Final answer
    x = 610,253.70

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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.