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Finding the Fourth Proportional to 419,123, 628,699.80 and 149,271.02

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Solution

The fourth proportional to 419,123, 628,699.80 and 149,271.02 is: 223,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,123 : 628,699.80 = 149,271.02 : x
  2. Step 2: Convert to fraction form
    419,123/628,699.80 = 149,271.02/x
  3. Step 3: Cross multiply
    419,123x = 628,699.80 × 149,271.02
  4. Step 4: Simplify right side
    419,123x = 93,846,657,276.30
  5. Step 5: Solve for x
    x = 93,846,657,276.30/419,123
  6. Step 6: Final answer
    x = 223,911.97

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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.