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Finding the Fourth Proportional to 425,258.98, 638,283.75 and 215,047.78

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Solution

The fourth proportional to 425,258.98, 638,283.75 and 215,047.78 is: 322,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,258.98 : 638,283.75 = 215,047.78 : x
  2. Step 2: Convert to fraction form
    425,258.98/638,283.75 = 215,047.78/x
  3. Step 3: Cross multiply
    425,258.98x = 638,283.75 × 215,047.78
  4. Step 4: Simplify right side
    425,258.98x = 137,261,503,447.58
  5. Step 5: Solve for x
    x = 137,261,503,447.58/425,258.98
  6. Step 6: Final answer
    x = 322,771.56

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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.