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Finding the Fourth Proportional to 230,779.20, 345,400.80 and 167,419.20

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Solution

The fourth proportional to 230,779.20, 345,400.80 and 167,419.20 is: 250,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,779.20 : 345,400.80 = 167,419.20 : x
  2. Step 2: Convert to fraction form
    230,779.20/345,400.80 = 167,419.20/x
  3. Step 3: Cross multiply
    230,779.20x = 345,400.80 × 167,419.20
  4. Step 4: Simplify right side
    230,779.20x = 57,826,725,615.36
  5. Step 5: Solve for x
    x = 57,826,725,615.36/230,779.20
  6. Step 6: Final answer
    x = 250,571.65

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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.