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Finding the Fourth Proportional to 200,829.78, 301,240.42 and 82,417.40

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Solution

The fourth proportional to 200,829.78, 301,240.42 and 82,417.40 is: 123,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,829.78 : 301,240.42 = 82,417.40 : x
  2. Step 2: Convert to fraction form
    200,829.78/301,240.42 = 82,417.40/x
  3. Step 3: Cross multiply
    200,829.78x = 301,240.42 × 82,417.40
  4. Step 4: Simplify right side
    200,829.78x = 24,827,451,608.71
  5. Step 5: Solve for x
    x = 24,827,451,608.71/200,829.78
  6. Step 6: Final answer
    x = 123,624.35

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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.