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Finding the Fourth Proportional to 515,675.52, 711,456.12 and 300,638.64

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Solution

The fourth proportional to 515,675.52, 711,456.12 and 300,638.64 is: 414,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,675.52 : 711,456.12 = 300,638.64 : x
  2. Step 2: Convert to fraction form
    515,675.52/711,456.12 = 300,638.64/x
  3. Step 3: Cross multiply
    515,675.52x = 711,456.12 × 300,638.64
  4. Step 4: Simplify right side
    515,675.52x = 213,891,200,336.48
  5. Step 5: Solve for x
    x = 213,891,200,336.48/515,675.52
  6. Step 6: Final answer
    x = 414,778.66

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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.