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Finding the Fourth Proportional to 502,342.56, 753,546.24 and 221,859

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Solution

The fourth proportional to 502,342.56, 753,546.24 and 221,859 is: 332,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,342.56 : 753,546.24 = 221,859 : x
  2. Step 2: Convert to fraction form
    502,342.56/753,546.24 = 221,859/x
  3. Step 3: Cross multiply
    502,342.56x = 753,546.24 × 221,859
  4. Step 4: Simplify right side
    502,342.56x = 167,181,015,260.16
  5. Step 5: Solve for x
    x = 167,181,015,260.16/502,342.56
  6. Step 6: Final answer
    x = 332,802.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.