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Finding the Fourth Proportional to 200,820.40, 301,057.80 and 102,324.40

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Solution

The fourth proportional to 200,820.40, 301,057.80 and 102,324.40 is: 153,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820.40 : 301,057.80 = 102,324.40 : x
  2. Step 2: Convert to fraction form
    200,820.40/301,057.80 = 102,324.40/x
  3. Step 3: Cross multiply
    200,820.40x = 301,057.80 × 102,324.40
  4. Step 4: Simplify right side
    200,820.40x = 30,805,558,750.32
  5. Step 5: Solve for x
    x = 30,805,558,750.32/200,820.40
  6. Step 6: Final answer
    x = 153,398.55

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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.