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Finding the Fourth Proportional to 580,138.29, 870,204.75 and 180,779.33

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Solution

The fourth proportional to 580,138.29, 870,204.75 and 180,779.33 is: 271,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,138.29 : 870,204.75 = 180,779.33 : x
  2. Step 2: Convert to fraction form
    580,138.29/870,204.75 = 180,779.33/x
  3. Step 3: Cross multiply
    580,138.29x = 870,204.75 × 180,779.33
  4. Step 4: Simplify right side
    580,138.29x = 157,315,027,316.79
  5. Step 5: Solve for x
    x = 157,315,027,316.79/580,138.29
  6. Step 6: Final answer
    x = 271,168.15

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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.