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Finding the Fourth Proportional to 361,779.12, 542,662.20 and 148,500.72

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Solution

The fourth proportional to 361,779.12, 542,662.20 and 148,500.72 is: 222,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,779.12 : 542,662.20 = 148,500.72 : x
  2. Step 2: Convert to fraction form
    361,779.12/542,662.20 = 148,500.72/x
  3. Step 3: Cross multiply
    361,779.12x = 542,662.20 × 148,500.72
  4. Step 4: Simplify right side
    361,779.12x = 80,585,727,416.78
  5. Step 5: Solve for x
    x = 80,585,727,416.78/361,779.12
  6. Step 6: Final answer
    x = 222,748.42

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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.