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Finding the Fourth Proportional to 498,337.54, 747,506.31 and 284,955.78

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Solution

The fourth proportional to 498,337.54, 747,506.31 and 284,955.78 is: 427,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,337.54 : 747,506.31 = 284,955.78 : x
  2. Step 2: Convert to fraction form
    498,337.54/747,506.31 = 284,955.78/x
  3. Step 3: Cross multiply
    498,337.54x = 747,506.31 × 284,955.78
  4. Step 4: Simplify right side
    498,337.54x = 213,006,243,620.97
  5. Step 5: Solve for x
    x = 213,006,243,620.97/498,337.54
  6. Step 6: Final answer
    x = 427,433.67

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Similar ratio
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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.