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Finding the Fourth Proportional to 279,905.22, 419,779.77 and 77,452.56

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Solution

The fourth proportional to 279,905.22, 419,779.77 and 77,452.56 is: 116,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,905.22 : 419,779.77 = 77,452.56 : x
  2. Step 2: Convert to fraction form
    279,905.22/419,779.77 = 77,452.56/x
  3. Step 3: Cross multiply
    279,905.22x = 419,779.77 × 77,452.56
  4. Step 4: Simplify right side
    279,905.22x = 32,513,017,822.71
  5. Step 5: Solve for x
    x = 32,513,017,822.71/279,905.22
  6. Step 6: Final answer
    x = 116,157.24

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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.