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Finding the Fourth Proportional to 511,453.94, 767,402.13 and 274,519.82

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Solution

The fourth proportional to 511,453.94, 767,402.13 and 274,519.82 is: 411,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,453.94 : 767,402.13 = 274,519.82 : x
  2. Step 2: Convert to fraction form
    511,453.94/767,402.13 = 274,519.82/x
  3. Step 3: Cross multiply
    511,453.94x = 767,402.13 × 274,519.82
  4. Step 4: Simplify right side
    511,453.94x = 210,667,097,543.17
  5. Step 5: Solve for x
    x = 210,667,097,543.17/511,453.94
  6. Step 6: Final answer
    x = 411,898.48

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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.