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Finding the Fourth Proportional to 279,830.54, 419,869.48 and 146,678.96

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Solution

The fourth proportional to 279,830.54, 419,869.48 and 146,678.96 is: 220,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,830.54 : 419,869.48 = 146,678.96 : x
  2. Step 2: Convert to fraction form
    279,830.54/419,869.48 = 146,678.96/x
  3. Step 3: Cross multiply
    279,830.54x = 419,869.48 × 146,678.96
  4. Step 4: Simplify right side
    279,830.54x = 61,586,018,662.14
  5. Step 5: Solve for x
    x = 61,586,018,662.14/279,830.54
  6. Step 6: Final answer
    x = 220,083.26

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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.