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Finding the Fourth Proportional to 285,673.49, 428,141.15 and 135,959.66

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Solution

The fourth proportional to 285,673.49, 428,141.15 and 135,959.66 is: 203,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,673.49 : 428,141.15 = 135,959.66 : x
  2. Step 2: Convert to fraction form
    285,673.49/428,141.15 = 135,959.66/x
  3. Step 3: Cross multiply
    285,673.49x = 428,141.15 × 135,959.66
  4. Step 4: Simplify right side
    285,673.49x = 58,209,922,365.51
  5. Step 5: Solve for x
    x = 58,209,922,365.51/285,673.49
  6. Step 6: Final answer
    x = 203,763.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.