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Finding the Fourth Proportional to 645,169.80, 966,879.90 and 431,329.80

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Solution

The fourth proportional to 645,169.80, 966,879.90 and 431,329.80 is: 646,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,169.80 : 966,879.90 = 431,329.80 : x
  2. Step 2: Convert to fraction form
    645,169.80/966,879.90 = 431,329.80/x
  3. Step 3: Cross multiply
    645,169.80x = 966,879.90 × 431,329.80
  4. Step 4: Simplify right side
    645,169.80x = 417,044,113,891.02
  5. Step 5: Solve for x
    x = 417,044,113,891.02/645,169.80
  6. Step 6: Final answer
    x = 646,409.85

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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.