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Finding the Fourth Proportional to 491,200.48, 736,369.80 and 407,653.84

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Solution

The fourth proportional to 491,200.48, 736,369.80 and 407,653.84 is: 611,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,200.48 : 736,369.80 = 407,653.84 : x
  2. Step 2: Convert to fraction form
    491,200.48/736,369.80 = 407,653.84/x
  3. Step 3: Cross multiply
    491,200.48x = 736,369.80 × 407,653.84
  4. Step 4: Simplify right side
    491,200.48x = 300,183,976,630.03
  5. Step 5: Solve for x
    x = 300,183,976,630.03/491,200.48
  6. Step 6: Final answer
    x = 611,123.13

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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.