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Finding the Fourth Proportional to 408,745.40, 612,795.54 and 172,124.60

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Solution

The fourth proportional to 408,745.40, 612,795.54 and 172,124.60 is: 258,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,745.40 : 612,795.54 = 172,124.60 : x
  2. Step 2: Convert to fraction form
    408,745.40/612,795.54 = 172,124.60/x
  3. Step 3: Cross multiply
    408,745.40x = 612,795.54 × 172,124.60
  4. Step 4: Simplify right side
    408,745.40x = 105,477,187,204.28
  5. Step 5: Solve for x
    x = 105,477,187,204.28/408,745.40
  6. Step 6: Final answer
    x = 258,051.07

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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.