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Finding the Fourth Proportional to 231,323.86, 319,227.51 and 129,353.02

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Solution

The fourth proportional to 231,323.86, 319,227.51 and 129,353.02 is: 178,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,323.86 : 319,227.51 = 129,353.02 : x
  2. Step 2: Convert to fraction form
    231,323.86/319,227.51 = 129,353.02/x
  3. Step 3: Cross multiply
    231,323.86x = 319,227.51 × 129,353.02
  4. Step 4: Simplify right side
    231,323.86x = 41,293,042,485.58
  5. Step 5: Solve for x
    x = 41,293,042,485.58/231,323.86
  6. Step 6: Final answer
    x = 178,507.49

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1.5x scale

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.