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Finding the Fourth Proportional to 361,565.72, 542,129.81 and 161,848.88

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Solution

The fourth proportional to 361,565.72, 542,129.81 and 161,848.88 is: 242,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,565.72 : 542,129.81 = 161,848.88 : x
  2. Step 2: Convert to fraction form
    361,565.72/542,129.81 = 161,848.88/x
  3. Step 3: Cross multiply
    361,565.72x = 542,129.81 × 161,848.88
  4. Step 4: Simplify right side
    361,565.72x = 87,743,099,043.22
  5. Step 5: Solve for x
    x = 87,743,099,043.22/361,565.72
  6. Step 6: Final answer
    x = 242,675.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.