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Finding the Fourth Proportional to 390,383.94, 538,725.42 and 211,535.94

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Solution

The fourth proportional to 390,383.94, 538,725.42 and 211,535.94 is: 291,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,383.94 : 538,725.42 = 211,535.94 : x
  2. Step 2: Convert to fraction form
    390,383.94/538,725.42 = 211,535.94/x
  3. Step 3: Cross multiply
    390,383.94x = 538,725.42 × 211,535.94
  4. Step 4: Simplify right side
    390,383.94x = 113,959,788,121.60
  5. Step 5: Solve for x
    x = 113,959,788,121.60/390,383.94
  6. Step 6: Final answer
    x = 291,917.20

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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.