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Finding the Fourth Proportional to 499,813.73, 747,976.46 and 408,804.46

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Solution

The fourth proportional to 499,813.73, 747,976.46 and 408,804.46 is: 611,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,813.73 : 747,976.46 = 408,804.46 : x
  2. Step 2: Convert to fraction form
    499,813.73/747,976.46 = 408,804.46/x
  3. Step 3: Cross multiply
    499,813.73x = 747,976.46 × 408,804.46
  4. Step 4: Simplify right side
    499,813.73x = 305,776,112,823.01
  5. Step 5: Solve for x
    x = 305,776,112,823.01/499,813.73
  6. Step 6: Final answer
    x = 611,780.14

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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.