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Finding the Fourth Proportional to 304,273.06, 419,864.51 and 168,285.40

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Solution

The fourth proportional to 304,273.06, 419,864.51 and 168,285.40 is: 232,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,273.06 : 419,864.51 = 168,285.40 : x
  2. Step 2: Convert to fraction form
    304,273.06/419,864.51 = 168,285.40/x
  3. Step 3: Cross multiply
    304,273.06x = 419,864.51 × 168,285.40
  4. Step 4: Simplify right side
    304,273.06x = 70,657,066,382.21
  5. Step 5: Solve for x
    x = 70,657,066,382.21/304,273.06
  6. Step 6: Final answer
    x = 232,215.98

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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.