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Finding the Fourth Proportional to 361,705.60, 542,817.60 and 203,766.40

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Solution

The fourth proportional to 361,705.60, 542,817.60 and 203,766.40 is: 305,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,705.60 : 542,817.60 = 203,766.40 : x
  2. Step 2: Convert to fraction form
    361,705.60/542,817.60 = 203,766.40/x
  3. Step 3: Cross multiply
    361,705.60x = 542,817.60 × 203,766.40
  4. Step 4: Simplify right side
    361,705.60x = 110,607,988,208.64
  5. Step 5: Solve for x
    x = 110,607,988,208.64/361,705.60
  6. Step 6: Final answer
    x = 305,795.62

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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.