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Finding the Fourth Proportional to 279,183.40, 418,904.70 and 146,213.80

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Solution

The fourth proportional to 279,183.40, 418,904.70 and 146,213.80 is: 219,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,183.40 : 418,904.70 = 146,213.80 : x
  2. Step 2: Convert to fraction form
    279,183.40/418,904.70 = 146,213.80/x
  3. Step 3: Cross multiply
    279,183.40x = 418,904.70 × 146,213.80
  4. Step 4: Simplify right side
    279,183.40x = 61,249,648,024.86
  5. Step 5: Solve for x
    x = 61,249,648,024.86/279,183.40
  6. Step 6: Final answer
    x = 219,388.57

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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.