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Finding the Fourth Proportional to 578,093.81, 867,439.72 and 419,477.48

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Solution

The fourth proportional to 578,093.81, 867,439.72 and 419,477.48 is: 629,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,093.81 : 867,439.72 = 419,477.48 : x
  2. Step 2: Convert to fraction form
    578,093.81/867,439.72 = 419,477.48/x
  3. Step 3: Cross multiply
    578,093.81x = 867,439.72 × 419,477.48
  4. Step 4: Simplify right side
    578,093.81x = 363,871,426,037.74
  5. Step 5: Solve for x
    x = 363,871,426,037.74/578,093.81
  6. Step 6: Final answer
    x = 629,433.18

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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.