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Finding the Fourth Proportional to 384,172.57, 575,792.29 and 271,885.61

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Solution

The fourth proportional to 384,172.57, 575,792.29 and 271,885.61 is: 407,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172.57 : 575,792.29 = 271,885.61 : x
  2. Step 2: Convert to fraction form
    384,172.57/575,792.29 = 271,885.61/x
  3. Step 3: Cross multiply
    384,172.57x = 575,792.29 × 271,885.61
  4. Step 4: Simplify right side
    384,172.57x = 156,549,633,761.56
  5. Step 5: Solve for x
    x = 156,549,633,761.56/384,172.57
  6. Step 6: Final answer
    x = 407,498.21

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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.