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Finding the Fourth Proportional to 420,317.90, 580,038.51 and 269,414.78

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Solution

The fourth proportional to 420,317.90, 580,038.51 and 269,414.78 is: 371,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,317.90 : 580,038.51 = 269,414.78 : x
  2. Step 2: Convert to fraction form
    420,317.90/580,038.51 = 269,414.78/x
  3. Step 3: Cross multiply
    420,317.90x = 580,038.51 × 269,414.78
  4. Step 4: Simplify right side
    420,317.90x = 156,270,947,563.18
  5. Step 5: Solve for x
    x = 156,270,947,563.18/420,317.90
  6. Step 6: Final answer
    x = 371,792.27

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1.5x scale

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.