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Finding the Fourth Proportional to 279,904.72, 419,779.02 and 77,452.06

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Solution

The fourth proportional to 279,904.72, 419,779.02 and 77,452.06 is: 116,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,904.72 : 419,779.02 = 77,452.06 : x
  2. Step 2: Convert to fraction form
    279,904.72/419,779.02 = 77,452.06/x
  3. Step 3: Cross multiply
    279,904.72x = 419,779.02 × 77,452.06
  4. Step 4: Simplify right side
    279,904.72x = 32,512,749,843.78
  5. Step 5: Solve for x
    x = 32,512,749,843.78/279,904.72
  6. Step 6: Final answer
    x = 116,156.49

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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.