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Finding the Fourth Proportional to 420,591.36, 580,415.52 and 269,688

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Solution

The fourth proportional to 420,591.36, 580,415.52 and 269,688 is: 372,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,591.36 : 580,415.52 = 269,688 : x
  2. Step 2: Convert to fraction form
    420,591.36/580,415.52 = 269,688/x
  3. Step 3: Cross multiply
    420,591.36x = 580,415.52 × 269,688
  4. Step 4: Simplify right side
    420,591.36x = 156,531,100,757.76
  5. Step 5: Solve for x
    x = 156,531,100,757.76/420,591.36
  6. Step 6: Final answer
    x = 372,169.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.