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Finding the Fourth Proportional to 287,674.47, 396,921.74 and 185,678.33

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Solution

The fourth proportional to 287,674.47, 396,921.74 and 185,678.33 is: 256,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,674.47 : 396,921.74 = 185,678.33 : x
  2. Step 2: Convert to fraction form
    287,674.47/396,921.74 = 185,678.33/x
  3. Step 3: Cross multiply
    287,674.47x = 396,921.74 × 185,678.33
  4. Step 4: Simplify right side
    287,674.47x = 73,699,762,910.89
  5. Step 5: Solve for x
    x = 73,699,762,910.89/287,674.47
  6. Step 6: Final answer
    x = 256,191.53

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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.