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Finding the Fourth Proportional to 279,737.06, 419,729.63 and 146,585.66

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Solution

The fourth proportional to 279,737.06, 419,729.63 and 146,585.66 is: 219,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,737.06 : 419,729.63 = 146,585.66 : x
  2. Step 2: Convert to fraction form
    279,737.06/419,729.63 = 146,585.66/x
  3. Step 3: Cross multiply
    279,737.06x = 419,729.63 × 146,585.66
  4. Step 4: Simplify right side
    279,737.06x = 61,526,342,003.53
  5. Step 5: Solve for x
    x = 61,526,342,003.53/279,737.06
  6. Step 6: Final answer
    x = 219,943.48

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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.