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Finding the Fourth Proportional to 580,138.78, 870,205.50 and 180,779.82

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Solution

The fourth proportional to 580,138.78, 870,205.50 and 180,779.82 is: 271,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,138.78 : 870,205.50 = 180,779.82 : x
  2. Step 2: Convert to fraction form
    580,138.78/870,205.50 = 180,779.82/x
  3. Step 3: Cross multiply
    580,138.78x = 870,205.50 × 180,779.82
  4. Step 4: Simplify right side
    580,138.78x = 157,315,593,653.01
  5. Step 5: Solve for x
    x = 157,315,593,653.01/580,138.78
  6. Step 6: Final answer
    x = 271,168.90

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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.