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Finding the Fourth Proportional to 382,401.45, 573,656.72 and 142,494.89

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Solution

The fourth proportional to 382,401.45, 573,656.72 and 142,494.89 is: 213,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,401.45 : 573,656.72 = 142,494.89 : x
  2. Step 2: Convert to fraction form
    382,401.45/573,656.72 = 142,494.89/x
  3. Step 3: Cross multiply
    382,401.45x = 573,656.72 × 142,494.89
  4. Step 4: Simplify right side
    382,401.45x = 81,743,147,633.40
  5. Step 5: Solve for x
    x = 81,743,147,633.40/382,401.45
  6. Step 6: Final answer
    x = 213,762.65

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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.