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Finding the Fourth Proportional to 498,336.54, 747,504.81 and 284,954.78

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Solution

The fourth proportional to 498,336.54, 747,504.81 and 284,954.78 is: 427,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,336.54 : 747,504.81 = 284,954.78 : x
  2. Step 2: Convert to fraction form
    498,336.54/747,504.81 = 284,954.78/x
  3. Step 3: Cross multiply
    498,336.54x = 747,504.81 × 284,954.78
  4. Step 4: Simplify right side
    498,336.54x = 213,005,064,944.97
  5. Step 5: Solve for x
    x = 213,005,064,944.97/498,336.54
  6. Step 6: Final answer
    x = 427,432.16

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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.