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Finding the Fourth Proportional to 538,308.98, 806,701.76 and 298,528.34

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Solution

The fourth proportional to 538,308.98, 806,701.76 and 298,528.34 is: 447,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,308.98 : 806,701.76 = 298,528.34 : x
  2. Step 2: Convert to fraction form
    538,308.98/806,701.76 = 298,528.34/x
  3. Step 3: Cross multiply
    538,308.98x = 806,701.76 × 298,528.34
  4. Step 4: Simplify right side
    538,308.98x = 240,823,337,287.88
  5. Step 5: Solve for x
    x = 240,823,337,287.88/538,308.98
  6. Step 6: Final answer
    x = 447,370.09

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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.