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Finding the Fourth Proportional to 578,003.80, 867,005.70 and 419,488.60

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Solution

The fourth proportional to 578,003.80, 867,005.70 and 419,488.60 is: 629,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,003.80 : 867,005.70 = 419,488.60 : x
  2. Step 2: Convert to fraction form
    578,003.80/867,005.70 = 419,488.60/x
  3. Step 3: Cross multiply
    578,003.80x = 867,005.70 × 419,488.60
  4. Step 4: Simplify right side
    578,003.80x = 363,699,007,285.02
  5. Step 5: Solve for x
    x = 363,699,007,285.02/578,003.80
  6. Step 6: Final answer
    x = 629,232.90

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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.