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Finding the Fourth Proportional to 419,334.44, 578,675.80 and 238,044.78

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Solution

The fourth proportional to 419,334.44, 578,675.80 and 238,044.78 is: 328,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,334.44 : 578,675.80 = 238,044.78 : x
  2. Step 2: Convert to fraction form
    419,334.44/578,675.80 = 238,044.78/x
  3. Step 3: Cross multiply
    419,334.44x = 578,675.80 × 238,044.78
  4. Step 4: Simplify right side
    419,334.44x = 137,750,753,502.32
  5. Step 5: Solve for x
    x = 137,750,753,502.32/419,334.44
  6. Step 6: Final answer
    x = 328,498.55

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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.