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Finding the Fourth Proportional to 361,254.60, 542,400.30 and 203,790.60

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Solution

The fourth proportional to 361,254.60, 542,400.30 and 203,790.60 is: 305,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,254.60 : 542,400.30 = 203,790.60 : x
  2. Step 2: Convert to fraction form
    361,254.60/542,400.30 = 203,790.60/x
  3. Step 3: Cross multiply
    361,254.60x = 542,400.30 × 203,790.60
  4. Step 4: Simplify right side
    361,254.60x = 110,536,082,577.18
  5. Step 5: Solve for x
    x = 110,536,082,577.18/361,254.60
  6. Step 6: Final answer
    x = 305,978.34

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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.