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Finding the Fourth Proportional to 645,874.70, 967,890.45 and 476,069.90

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Solution

The fourth proportional to 645,874.70, 967,890.45 and 476,069.90 is: 713,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,874.70 : 967,890.45 = 476,069.90 : x
  2. Step 2: Convert to fraction form
    645,874.70/967,890.45 = 476,069.90/x
  3. Step 3: Cross multiply
    645,874.70x = 967,890.45 × 476,069.90
  4. Step 4: Simplify right side
    645,874.70x = 460,783,509,742.46
  5. Step 5: Solve for x
    x = 460,783,509,742.46/645,874.70
  6. Step 6: Final answer
    x = 713,425.54

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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.