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Finding the Fourth Proportional to 497,728.40, 746,765.40 and 217,331.60

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Solution

The fourth proportional to 497,728.40, 746,765.40 and 217,331.60 is: 326,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728.40 : 746,765.40 = 217,331.60 : x
  2. Step 2: Convert to fraction form
    497,728.40/746,765.40 = 217,331.60/x
  3. Step 3: Cross multiply
    497,728.40x = 746,765.40 × 217,331.60
  4. Step 4: Simplify right side
    497,728.40x = 162,295,719,206.64
  5. Step 5: Solve for x
    x = 162,295,719,206.64/497,728.40
  6. Step 6: Final answer
    x = 326,072.85

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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.