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Finding the Fourth Proportional to 384,172.07, 575,791.54 and 271,885.11

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Solution

The fourth proportional to 384,172.07, 575,791.54 and 271,885.11 is: 407,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172.07 : 575,791.54 = 271,885.11 : x
  2. Step 2: Convert to fraction form
    384,172.07/575,791.54 = 271,885.11/x
  3. Step 3: Cross multiply
    384,172.07x = 575,791.54 × 271,885.11
  4. Step 4: Simplify right side
    384,172.07x = 156,549,143,351.04
  5. Step 5: Solve for x
    x = 156,549,143,351.04/384,172.07
  6. Step 6: Final answer
    x = 407,497.47

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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.