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Finding the Fourth Proportional to 419,426.59, 578,835.03 and 238,069.48

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Solution

The fourth proportional to 419,426.59, 578,835.03 and 238,069.48 is: 328,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,426.59 : 578,835.03 = 238,069.48 : x
  2. Step 2: Convert to fraction form
    419,426.59/578,835.03 = 238,069.48/x
  3. Step 3: Cross multiply
    419,426.59x = 578,835.03 × 238,069.48
  4. Step 4: Simplify right side
    419,426.59x = 137,802,954,597.88
  5. Step 5: Solve for x
    x = 137,802,954,597.88/419,426.59
  6. Step 6: Final answer
    x = 328,550.83

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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.