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Finding the Fourth Proportional to 309,171.92, 426,656.30 and 171,359.63

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Solution

The fourth proportional to 309,171.92, 426,656.30 and 171,359.63 is: 236,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,171.92 : 426,656.30 = 171,359.63 : x
  2. Step 2: Convert to fraction form
    309,171.92/426,656.30 = 171,359.63/x
  3. Step 3: Cross multiply
    309,171.92x = 426,656.30 × 171,359.63
  4. Step 4: Simplify right side
    309,171.92x = 73,111,662,715.09
  5. Step 5: Solve for x
    x = 73,111,662,715.09/309,171.92
  6. Step 6: Final answer
    x = 236,475.76

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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.