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Finding the Fourth Proportional to 310,686.91, 428,743.86 and 174,720.82

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Solution

The fourth proportional to 310,686.91, 428,743.86 and 174,720.82 is: 241,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,686.91 : 428,743.86 = 174,720.82 : x
  2. Step 2: Convert to fraction form
    310,686.91/428,743.86 = 174,720.82/x
  3. Step 3: Cross multiply
    310,686.91x = 428,743.86 × 174,720.82
  4. Step 4: Simplify right side
    310,686.91x = 74,910,478,789.17
  5. Step 5: Solve for x
    x = 74,910,478,789.17/310,686.91
  6. Step 6: Final answer
    x = 241,112.44

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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.