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Finding the Fourth Proportional to 279,792.48, 419,812.56 and 146,640.84

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Solution

The fourth proportional to 279,792.48, 419,812.56 and 146,640.84 is: 220,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,792.48 : 419,812.56 = 146,640.84 : x
  2. Step 2: Convert to fraction form
    279,792.48/419,812.56 = 146,640.84/x
  3. Step 3: Cross multiply
    279,792.48x = 419,812.56 × 146,640.84
  4. Step 4: Simplify right side
    279,792.48x = 61,561,666,440.95
  5. Step 5: Solve for x
    x = 61,561,666,440.95/279,792.48
  6. Step 6: Final answer
    x = 220,026.17

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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.