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Finding the Fourth Proportional to 304,857.50, 420,706.29 and 168,894.33

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Solution

The fourth proportional to 304,857.50, 420,706.29 and 168,894.33 is: 233,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,857.50 : 420,706.29 = 168,894.33 : x
  2. Step 2: Convert to fraction form
    304,857.50/420,706.29 = 168,894.33/x
  3. Step 3: Cross multiply
    304,857.50x = 420,706.29 × 168,894.33
  4. Step 4: Simplify right side
    304,857.50x = 71,054,906,976.34
  5. Step 5: Solve for x
    x = 71,054,906,976.34/304,857.50
  6. Step 6: Final answer
    x = 233,075.81

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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.