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Finding the Fourth Proportional to 648,469.20, 973,141.20 and 381,946.80

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Solution

The fourth proportional to 648,469.20, 973,141.20 and 381,946.80 is: 573,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,469.20 : 973,141.20 = 381,946.80 : x
  2. Step 2: Convert to fraction form
    648,469.20/973,141.20 = 381,946.80/x
  3. Step 3: Cross multiply
    648,469.20x = 973,141.20 × 381,946.80
  4. Step 4: Simplify right side
    648,469.20x = 371,688,167,288.16
  5. Step 5: Solve for x
    x = 371,688,167,288.16/648,469.20
  6. Step 6: Final answer
    x = 573,177.83

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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.