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Finding the Fourth Proportional to 382,402.45, 573,658.22 and 142,495.89

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Solution

The fourth proportional to 382,402.45, 573,658.22 and 142,495.89 is: 213,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,402.45 : 573,658.22 = 142,495.89 : x
  2. Step 2: Convert to fraction form
    382,402.45/573,658.22 = 142,495.89/x
  3. Step 3: Cross multiply
    382,402.45x = 573,658.22 × 142,495.89
  4. Step 4: Simplify right side
    382,402.45x = 81,743,938,614.72
  5. Step 5: Solve for x
    x = 81,743,938,614.72/382,402.45
  6. Step 6: Final answer
    x = 213,764.16

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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.