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Finding the Fourth Proportional to 447,205.26, 670,807.89 and 306,537.42

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Solution

The fourth proportional to 447,205.26, 670,807.89 and 306,537.42 is: 459,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,205.26 : 670,807.89 = 306,537.42 : x
  2. Step 2: Convert to fraction form
    447,205.26/670,807.89 = 306,537.42/x
  3. Step 3: Cross multiply
    447,205.26x = 670,807.89 × 306,537.42
  4. Step 4: Simplify right side
    447,205.26x = 205,627,719,916.24
  5. Step 5: Solve for x
    x = 205,627,719,916.24/447,205.26
  6. Step 6: Final answer
    x = 459,806.13

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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.