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Finding the Fourth Proportional to 419,426.40, 578,868.81 and 303,516.21

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Solution

The fourth proportional to 419,426.40, 578,868.81 and 303,516.21 is: 418,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,426.40 : 578,868.81 = 303,516.21 : x
  2. Step 2: Convert to fraction form
    419,426.40/578,868.81 = 303,516.21/x
  3. Step 3: Cross multiply
    419,426.40x = 578,868.81 × 303,516.21
  4. Step 4: Simplify right side
    419,426.40x = 175,696,067,298.41
  5. Step 5: Solve for x
    x = 175,696,067,298.41/419,426.40
  6. Step 6: Final answer
    x = 418,896.06

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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.