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Finding the Fourth Proportional to 641,595.94, 963,639.48 and 472,448.23

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Solution

The fourth proportional to 641,595.94, 963,639.48 and 472,448.23 is: 709,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,595.94 : 963,639.48 = 472,448.23 : x
  2. Step 2: Convert to fraction form
    641,595.94/963,639.48 = 472,448.23/x
  3. Step 3: Cross multiply
    641,595.94x = 963,639.48 × 472,448.23
  4. Step 4: Simplify right side
    641,595.94x = 455,269,766,046.70
  5. Step 5: Solve for x
    x = 455,269,766,046.70/641,595.94
  6. Step 6: Final answer
    x = 709,589.54

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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.