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Finding the Fourth Proportional to 548,869.50, 822,454.02 and 380,716.74

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Solution

The fourth proportional to 548,869.50, 822,454.02 and 380,716.74 is: 570,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,869.50 : 822,454.02 = 380,716.74 : x
  2. Step 2: Convert to fraction form
    548,869.50/822,454.02 = 380,716.74/x
  3. Step 3: Cross multiply
    548,869.50x = 822,454.02 × 380,716.74
  4. Step 4: Simplify right side
    548,869.50x = 313,122,013,294.30
  5. Step 5: Solve for x
    x = 313,122,013,294.30/548,869.50
  6. Step 6: Final answer
    x = 570,485.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.