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Finding the Fourth Proportional to 433,880.73, 649,699.65 and 299,359.58

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Solution

The fourth proportional to 433,880.73, 649,699.65 and 299,359.58 is: 448,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,880.73 : 649,699.65 = 299,359.58 : x
  2. Step 2: Convert to fraction form
    433,880.73/649,699.65 = 299,359.58/x
  3. Step 3: Cross multiply
    433,880.73x = 649,699.65 × 299,359.58
  4. Step 4: Simplify right side
    433,880.73x = 194,493,811,101.65
  5. Step 5: Solve for x
    x = 194,493,811,101.65/433,880.73
  6. Step 6: Final answer
    x = 448,265.61

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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.