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Finding the Fourth Proportional to 304,891, 420,749.58 and 170,755

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Solution

The fourth proportional to 304,891, 420,749.58 and 170,755 is: 235,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,891 : 420,749.58 = 170,755 : x
  2. Step 2: Convert to fraction form
    304,891/420,749.58 = 170,755/x
  3. Step 3: Cross multiply
    304,891x = 420,749.58 × 170,755
  4. Step 4: Simplify right side
    304,891x = 71,845,094,532.90
  5. Step 5: Solve for x
    x = 71,845,094,532.90/304,891
  6. Step 6: Final answer
    x = 235,641.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.