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Finding the Fourth Proportional to 498,800.40, 747,293.40 and 287,811.60

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Solution

The fourth proportional to 498,800.40, 747,293.40 and 287,811.60 is: 431,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,800.40 : 747,293.40 = 287,811.60 : x
  2. Step 2: Convert to fraction form
    498,800.40/747,293.40 = 287,811.60/x
  3. Step 3: Cross multiply
    498,800.40x = 747,293.40 × 287,811.60
  4. Step 4: Simplify right side
    498,800.40x = 215,079,709,123.44
  5. Step 5: Solve for x
    x = 215,079,709,123.44/498,800.40
  6. Step 6: Final answer
    x = 431,193.94

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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.