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Finding the Fourth Proportional to 314,791.70, 434,399.88 and 171,548.66

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Solution

The fourth proportional to 314,791.70, 434,399.88 and 171,548.66 is: 236,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,791.70 : 434,399.88 = 171,548.66 : x
  2. Step 2: Convert to fraction form
    314,791.70/434,399.88 = 171,548.66/x
  3. Step 3: Cross multiply
    314,791.70x = 434,399.88 × 171,548.66
  4. Step 4: Simplify right side
    314,791.70x = 74,520,717,318.16
  5. Step 5: Solve for x
    x = 74,520,717,318.16/314,791.70
  6. Step 6: Final answer
    x = 236,730.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.