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Finding the Fourth Proportional to 419,539.51, 578,968.50 and 238,255.21

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Solution

The fourth proportional to 419,539.51, 578,968.50 and 238,255.21 is: 328,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,539.51 : 578,968.50 = 238,255.21 : x
  2. Step 2: Convert to fraction form
    419,539.51/578,968.50 = 238,255.21/x
  3. Step 3: Cross multiply
    419,539.51x = 578,968.50 × 238,255.21
  4. Step 4: Simplify right side
    419,539.51x = 137,942,261,550.89
  5. Step 5: Solve for x
    x = 137,942,261,550.89/419,539.51
  6. Step 6: Final answer
    x = 328,794.45

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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.