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Finding the Fourth Proportional to 279,814.78, 419,500.40 and 146,669.50

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Solution

The fourth proportional to 279,814.78, 419,500.40 and 146,669.50 is: 219,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,814.78 : 419,500.40 = 146,669.50 : x
  2. Step 2: Convert to fraction form
    279,814.78/419,500.40 = 146,669.50/x
  3. Step 3: Cross multiply
    279,814.78x = 419,500.40 × 146,669.50
  4. Step 4: Simplify right side
    279,814.78x = 61,527,913,917.80
  5. Step 5: Solve for x
    x = 61,527,913,917.80/279,814.78
  6. Step 6: Final answer
    x = 219,888.01

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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.