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Finding the Fourth Proportional to 382,135.42, 573,208.62 and 145,491.10

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Solution

The fourth proportional to 382,135.42, 573,208.62 and 145,491.10 is: 218,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,135.42 : 573,208.62 = 145,491.10 : x
  2. Step 2: Convert to fraction form
    382,135.42/573,208.62 = 145,491.10/x
  3. Step 3: Cross multiply
    382,135.42x = 573,208.62 × 145,491.10
  4. Step 4: Simplify right side
    382,135.42x = 83,396,752,653.28
  5. Step 5: Solve for x
    x = 83,396,752,653.28/382,135.42
  6. Step 6: Final answer
    x = 218,238.74

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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.