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Finding the Fourth Proportional to 419,560.79, 578,994.62 and 238,272.68

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Solution

The fourth proportional to 419,560.79, 578,994.62 and 238,272.68 is: 328,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,560.79 : 578,994.62 = 238,272.68 : x
  2. Step 2: Convert to fraction form
    419,560.79/578,994.62 = 238,272.68/x
  3. Step 3: Cross multiply
    419,560.79x = 578,994.62 × 238,272.68
  4. Step 4: Simplify right side
    419,560.79x = 137,958,595,726.65
  5. Step 5: Solve for x
    x = 137,958,595,726.65/419,560.79
  6. Step 6: Final answer
    x = 328,816.71

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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.