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Finding the Fourth Proportional to 493,341.80, 740,012.70 and 419,858.60

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Solution

The fourth proportional to 493,341.80, 740,012.70 and 419,858.60 is: 629,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,341.80 : 740,012.70 = 419,858.60 : x
  2. Step 2: Convert to fraction form
    493,341.80/740,012.70 = 419,858.60/x
  3. Step 3: Cross multiply
    493,341.80x = 740,012.70 × 419,858.60
  4. Step 4: Simplify right side
    493,341.80x = 310,700,696,204.22
  5. Step 5: Solve for x
    x = 310,700,696,204.22/493,341.80
  6. Step 6: Final answer
    x = 629,787.90

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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.