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Finding the Fourth Proportional to 382,433.78, 573,815.79 and 145,847.54

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Solution

The fourth proportional to 382,433.78, 573,815.79 and 145,847.54 is: 218,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,433.78 : 573,815.79 = 145,847.54 : x
  2. Step 2: Convert to fraction form
    382,433.78/573,815.79 = 145,847.54/x
  3. Step 3: Cross multiply
    382,433.78x = 573,815.79 × 145,847.54
  4. Step 4: Simplify right side
    382,433.78x = 83,689,621,384.66
  5. Step 5: Solve for x
    x = 83,689,621,384.66/382,433.78
  6. Step 6: Final answer
    x = 218,834.28

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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.