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Finding the Fourth Proportional to 304,243.12, 419,870.28 and 168,276.52

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Solution

The fourth proportional to 304,243.12, 419,870.28 and 168,276.52 is: 232,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,243.12 : 419,870.28 = 168,276.52 : x
  2. Step 2: Convert to fraction form
    304,243.12/419,870.28 = 168,276.52/x
  3. Step 3: Cross multiply
    304,243.12x = 419,870.28 × 168,276.52
  4. Step 4: Simplify right side
    304,243.12x = 70,654,309,569.83
  5. Step 5: Solve for x
    x = 70,654,309,569.83/304,243.12
  6. Step 6: Final answer
    x = 232,229.77

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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.