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Finding the Fourth Proportional to 361,353.78, 542,215.71 and 172,028.34

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Solution

The fourth proportional to 361,353.78, 542,215.71 and 172,028.34 is: 258,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,353.78 : 542,215.71 = 172,028.34 : x
  2. Step 2: Convert to fraction form
    361,353.78/542,215.71 = 172,028.34/x
  3. Step 3: Cross multiply
    361,353.78x = 542,215.71 × 172,028.34
  4. Step 4: Simplify right side
    361,353.78x = 93,276,468,513.22
  5. Step 5: Solve for x
    x = 93,276,468,513.22/361,353.78
  6. Step 6: Final answer
    x = 258,130.60

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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.