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Finding the Fourth Proportional to 491,198.48, 736,366.80 and 407,651.84

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Solution

The fourth proportional to 491,198.48, 736,366.80 and 407,651.84 is: 611,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,198.48 : 736,366.80 = 407,651.84 : x
  2. Step 2: Convert to fraction form
    491,198.48/736,366.80 = 407,651.84/x
  3. Step 3: Cross multiply
    491,198.48x = 736,366.80 × 407,651.84
  4. Step 4: Simplify right side
    491,198.48x = 300,181,280,934.91
  5. Step 5: Solve for x
    x = 300,181,280,934.91/491,198.48
  6. Step 6: Final answer
    x = 611,120.13

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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.