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Finding the Fourth Proportional to 461,310.33, 636,499.80 and 280,017.75

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Solution

The fourth proportional to 461,310.33, 636,499.80 and 280,017.75 is: 386,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,310.33 : 636,499.80 = 280,017.75 : x
  2. Step 2: Convert to fraction form
    461,310.33/636,499.80 = 280,017.75/x
  3. Step 3: Cross multiply
    461,310.33x = 636,499.80 × 280,017.75
  4. Step 4: Simplify right side
    461,310.33x = 178,231,241,871.45
  5. Step 5: Solve for x
    x = 178,231,241,871.45/461,310.33
  6. Step 6: Final answer
    x = 386,358.66

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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.