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Finding the Fourth Proportional to 497,057.82, 745,530.89 and 137,279.82

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Solution

The fourth proportional to 497,057.82, 745,530.89 and 137,279.82 is: 205,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,057.82 : 745,530.89 = 137,279.82 : x
  2. Step 2: Convert to fraction form
    497,057.82/745,530.89 = 137,279.82/x
  3. Step 3: Cross multiply
    497,057.82x = 745,530.89 × 137,279.82
  4. Step 4: Simplify right side
    497,057.82x = 102,346,346,383.64
  5. Step 5: Solve for x
    x = 102,346,346,383.64/497,057.82
  6. Step 6: Final answer
    x = 205,904.31

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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.