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Finding the Fourth Proportional to 538,191.45, 806,302.61 and 254,116.62

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Solution

The fourth proportional to 538,191.45, 806,302.61 and 254,116.62 is: 380,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,191.45 : 806,302.61 = 254,116.62 : x
  2. Step 2: Convert to fraction form
    538,191.45/806,302.61 = 254,116.62/x
  3. Step 3: Cross multiply
    538,191.45x = 806,302.61 × 254,116.62
  4. Step 4: Simplify right side
    538,191.45x = 204,894,893,950.38
  5. Step 5: Solve for x
    x = 204,894,893,950.38/538,191.45
  6. Step 6: Final answer
    x = 380,710.05

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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.