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Finding the Fourth Proportional to 361,698.70, 542,616.10 and 145,573.96

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Solution

The fourth proportional to 361,698.70, 542,616.10 and 145,573.96 is: 218,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,698.70 : 542,616.10 = 145,573.96 : x
  2. Step 2: Convert to fraction form
    361,698.70/542,616.10 = 145,573.96/x
  3. Step 3: Cross multiply
    361,698.70x = 542,616.10 × 145,573.96
  4. Step 4: Simplify right side
    361,698.70x = 78,990,774,436.76
  5. Step 5: Solve for x
    x = 78,990,774,436.76/361,698.70
  6. Step 6: Final answer
    x = 218,388.33

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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.