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Finding the Fourth Proportional to 419,382.56, 578,711.39 and 238,102.13

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Solution

The fourth proportional to 419,382.56, 578,711.39 and 238,102.13 is: 328,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,382.56 : 578,711.39 = 238,102.13 : x
  2. Step 2: Convert to fraction form
    419,382.56/578,711.39 = 238,102.13/x
  3. Step 3: Cross multiply
    419,382.56x = 578,711.39 × 238,102.13
  4. Step 4: Simplify right side
    419,382.56x = 137,792,414,870.53
  5. Step 5: Solve for x
    x = 137,792,414,870.53/419,382.56
  6. Step 6: Final answer
    x = 328,560.19

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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.