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Finding the Fourth Proportional to 645,874.20, 967,889.70 and 476,069.40

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Solution

The fourth proportional to 645,874.20, 967,889.70 and 476,069.40 is: 713,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,874.20 : 967,889.70 = 476,069.40 : x
  2. Step 2: Convert to fraction form
    645,874.20/967,889.70 = 476,069.40/x
  3. Step 3: Cross multiply
    645,874.20x = 967,889.70 × 476,069.40
  4. Step 4: Simplify right side
    645,874.20x = 460,782,668,745.18
  5. Step 5: Solve for x
    x = 460,782,668,745.18/645,874.20
  6. Step 6: Final answer
    x = 713,424.80

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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.