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Finding the Fourth Proportional to 425,344.10, 637,862.55 and 214,912.10

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Solution

The fourth proportional to 425,344.10, 637,862.55 and 214,912.10 is: 322,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,344.10 : 637,862.55 = 214,912.10 : x
  2. Step 2: Convert to fraction form
    425,344.10/637,862.55 = 214,912.10/x
  3. Step 3: Cross multiply
    425,344.10x = 637,862.55 × 214,912.10
  4. Step 4: Simplify right side
    425,344.10x = 137,084,380,131.86
  5. Step 5: Solve for x
    x = 137,084,380,131.86/425,344.10
  6. Step 6: Final answer
    x = 322,290.54

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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.