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Finding the Fourth Proportional to 310,154.73, 428,106.34 and 181,128

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Solution

The fourth proportional to 310,154.73, 428,106.34 and 181,128 is: 250,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,154.73 : 428,106.34 = 181,128 : x
  2. Step 2: Convert to fraction form
    310,154.73/428,106.34 = 181,128/x
  3. Step 3: Cross multiply
    310,154.73x = 428,106.34 × 181,128
  4. Step 4: Simplify right side
    310,154.73x = 77,542,045,151.52
  5. Step 5: Solve for x
    x = 77,542,045,151.52/310,154.73
  6. Step 6: Final answer
    x = 250,010.84

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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.