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Finding the Fourth Proportional to 304,802.25, 420,622.68 and 168,835.77

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Solution

The fourth proportional to 304,802.25, 420,622.68 and 168,835.77 is: 232,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,802.25 : 420,622.68 = 168,835.77 : x
  2. Step 2: Convert to fraction form
    304,802.25/420,622.68 = 168,835.77/x
  3. Step 3: Cross multiply
    304,802.25x = 420,622.68 × 168,835.77
  4. Step 4: Simplify right side
    304,802.25x = 71,016,154,057.26
  5. Step 5: Solve for x
    x = 71,016,154,057.26/304,802.25
  6. Step 6: Final answer
    x = 232,990.91

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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.