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Finding the Fourth Proportional to 645,878.90, 967,932.61 and 408,798.38

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Solution

The fourth proportional to 645,878.90, 967,932.61 and 408,798.38 is: 612,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,878.90 : 967,932.61 = 408,798.38 : x
  2. Step 2: Convert to fraction form
    645,878.90/967,932.61 = 408,798.38/x
  3. Step 3: Cross multiply
    645,878.90x = 967,932.61 × 408,798.38
  4. Step 4: Simplify right side
    645,878.90x = 395,689,284,315.01
  5. Step 5: Solve for x
    x = 395,689,284,315.01/645,878.90
  6. Step 6: Final answer
    x = 612,636.96

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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.