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Finding the Fourth Proportional to 521,978.43, 720,318.35 and 304,173.48

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Solution

The fourth proportional to 521,978.43, 720,318.35 and 304,173.48 is: 419,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,978.43 : 720,318.35 = 304,173.48 : x
  2. Step 2: Convert to fraction form
    521,978.43/720,318.35 = 304,173.48/x
  3. Step 3: Cross multiply
    521,978.43x = 720,318.35 × 304,173.48
  4. Step 4: Simplify right side
    521,978.43x = 219,101,737,706.49
  5. Step 5: Solve for x
    x = 219,101,737,706.49/521,978.43
  6. Step 6: Final answer
    x = 419,752.47

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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.