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Finding the Fourth Proportional to 380,523.96, 525,476.04 and 284,864.58

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Solution

The fourth proportional to 380,523.96, 525,476.04 and 284,864.58 is: 393,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,523.96 : 525,476.04 = 284,864.58 : x
  2. Step 2: Convert to fraction form
    380,523.96/525,476.04 = 284,864.58/x
  3. Step 3: Cross multiply
    380,523.96x = 525,476.04 × 284,864.58
  4. Step 4: Simplify right side
    380,523.96x = 149,689,511,434.66
  5. Step 5: Solve for x
    x = 149,689,511,434.66/380,523.96
  6. Step 6: Final answer
    x = 393,377.36

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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.