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Finding the Fourth Proportional to 361,987.02, 542,995.11 and 172,349.82

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Solution

The fourth proportional to 361,987.02, 542,995.11 and 172,349.82 is: 258,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,987.02 : 542,995.11 = 172,349.82 : x
  2. Step 2: Convert to fraction form
    361,987.02/542,995.11 = 172,349.82/x
  3. Step 3: Cross multiply
    361,987.02x = 542,995.11 × 172,349.82
  4. Step 4: Simplify right side
    361,987.02x = 93,585,109,469.38
  5. Step 5: Solve for x
    x = 93,585,109,469.38/361,987.02
  6. Step 6: Final answer
    x = 258,531.67

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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.