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Finding the Fourth Proportional to 419,294.86, 578,608.84 and 238,003.49

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Solution

The fourth proportional to 419,294.86, 578,608.84 and 238,003.49 is: 328,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,294.86 : 578,608.84 = 238,003.49 : x
  2. Step 2: Convert to fraction form
    419,294.86/578,608.84 = 238,003.49/x
  3. Step 3: Cross multiply
    419,294.86x = 578,608.84 × 238,003.49
  4. Step 4: Simplify right side
    419,294.86x = 137,710,923,264.85
  5. Step 5: Solve for x
    x = 137,710,923,264.85/419,294.86
  6. Step 6: Final answer
    x = 328,434.56

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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.