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Finding the Fourth Proportional to 420,476.96, 580,324.65 and 267,355.52

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Solution

The fourth proportional to 420,476.96, 580,324.65 and 267,355.52 is: 368,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,476.96 : 580,324.65 = 267,355.52 : x
  2. Step 2: Convert to fraction form
    420,476.96/580,324.65 = 267,355.52/x
  3. Step 3: Cross multiply
    420,476.96x = 580,324.65 × 267,355.52
  4. Step 4: Simplify right side
    420,476.96x = 155,152,995,667.95
  5. Step 5: Solve for x
    x = 155,152,995,667.95/420,476.96
  6. Step 6: Final answer
    x = 368,992.86

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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.