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Finding the Fourth Proportional to 419,513.32, 578,987.62 and 238,270.44

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Solution

The fourth proportional to 419,513.32, 578,987.62 and 238,270.44 is: 328,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,513.32 : 578,987.62 = 238,270.44 : x
  2. Step 2: Convert to fraction form
    419,513.32/578,987.62 = 238,270.44/x
  3. Step 3: Cross multiply
    419,513.32x = 578,987.62 × 238,270.44
  4. Step 4: Simplify right side
    419,513.32x = 137,955,634,971.95
  5. Step 5: Solve for x
    x = 137,955,634,971.95/419,513.32
  6. Step 6: Final answer
    x = 328,846.85

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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.