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Finding the Fourth Proportional to 419,557.76, 578,837.83 and 274,446.38

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Solution

The fourth proportional to 419,557.76, 578,837.83 and 274,446.38 is: 378,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,557.76 : 578,837.83 = 274,446.38 : x
  2. Step 2: Convert to fraction form
    419,557.76/578,837.83 = 274,446.38/x
  3. Step 3: Cross multiply
    419,557.76x = 578,837.83 × 274,446.38
  4. Step 4: Simplify right side
    419,557.76x = 158,859,945,406.99
  5. Step 5: Solve for x
    x = 158,859,945,406.99/419,557.76
  6. Step 6: Final answer
    x = 378,636.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.