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Finding the Fourth Proportional to 304,924, 420,795.12 and 170,788

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Solution

The fourth proportional to 304,924, 420,795.12 and 170,788 is: 235,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,924 : 420,795.12 = 170,788 : x
  2. Step 2: Convert to fraction form
    304,924/420,795.12 = 170,788/x
  3. Step 3: Cross multiply
    304,924x = 420,795.12 × 170,788
  4. Step 4: Simplify right side
    304,924x = 71,866,756,954.56
  5. Step 5: Solve for x
    x = 71,866,756,954.56/304,924
  6. Step 6: Final answer
    x = 235,687.44

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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.