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Finding the Fourth Proportional to 538,137.82, 807,207.74 and 505,254.91

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Solution

The fourth proportional to 538,137.82, 807,207.74 and 505,254.91 is: 757,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,137.82 : 807,207.74 = 505,254.91 : x
  2. Step 2: Convert to fraction form
    538,137.82/807,207.74 = 505,254.91/x
  3. Step 3: Cross multiply
    538,137.82x = 807,207.74 × 505,254.91
  4. Step 4: Simplify right side
    538,137.82x = 407,845,667,462.69
  5. Step 5: Solve for x
    x = 407,845,667,462.69/538,137.82
  6. Step 6: Final answer
    x = 757,883.30

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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.