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Finding the Fourth Proportional to 380,921.92, 525,678.17 and 208,855.60

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Solution

The fourth proportional to 380,921.92, 525,678.17 and 208,855.60 is: 288,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,921.92 : 525,678.17 = 208,855.60 : x
  2. Step 2: Convert to fraction form
    380,921.92/525,678.17 = 208,855.60/x
  3. Step 3: Cross multiply
    380,921.92x = 525,678.17 × 208,855.60
  4. Step 4: Simplify right side
    380,921.92x = 109,790,827,243.78
  5. Step 5: Solve for x
    x = 109,790,827,243.78/380,921.92
  6. Step 6: Final answer
    x = 288,223.97

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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.