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Finding the Fourth Proportional to 580,255.88, 870,208.86 and 225,190.76

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Solution

The fourth proportional to 580,255.88, 870,208.86 and 225,190.76 is: 337,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,255.88 : 870,208.86 = 225,190.76 : x
  2. Step 2: Convert to fraction form
    580,255.88/870,208.86 = 225,190.76/x
  3. Step 3: Cross multiply
    580,255.88x = 870,208.86 × 225,190.76
  4. Step 4: Simplify right side
    580,255.88x = 195,962,994,542.13
  5. Step 5: Solve for x
    x = 195,962,994,542.13/580,255.88
  6. Step 6: Final answer
    x = 337,718.24

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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.